1800 as a product of prime factors

Prime Factors of 1800 definition - factorization.info Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 1800 and 56. It has total 36 factors of which 1800 is the biggest factor and the prime factors of 1800 are 2, 3, 5. 1820 as a Product of Prime Factors. 1800 is 2 x 900 is 2 x 2 x 450 is 2 x 2 x 2 x 225 (since 2+2 + 5 = 9, I know that 225 is divisible by 3 twice ) is 2 x 2 x 2 x . 1764=42. See also in this web page a Prime Factorization Chart with all primes from 1 to 1000. In this super quick tutorial we'll explain what the product of prime factors is, and list out the product form of 1820 to help you in your math homework journey! In other words, 1800 is divisible by more factors than 1 and the number itself. To find the factors of 1800, we will have to find the list of numbers that would divide 1800 without leaving any remainder. In short, we would write the solution as: Express a Number (1800) as a Product of Prime Factors (Repe 72 = 2 x 2 x 2 x 9 Check whether 11025 is a perfect square or not. 75 is divisible by 3, 75/3 = 25. Open in App. 1800/90 = 20; therefore, 90 is a factor of 1800 and 20 is also a factor of 1800. The given integer 1800 is a composite number since it has more factors than 1 and the number itself. For calculation, here's how to calculate Prime Factorization of 1800 using the formula above, step by step instructions are given below. It is an even number, so we can write that: 18 = 2 9. For values other than 1800, use this below tool. 1800 is not a prime number . The pair factors of 1800 are (1, 1800), (2, 900), (3, 600), (4, 450), (5, 360), (6, 300), (8, 225), (9, 200), (10, 180), (12, 150), (15, 120), (18, 100), (20, 90), (24, 75), (25, 72), (30, 60), (36, 50), (40, 45). In this super quick tutorial we'll explain what the product of prime factors is, and list out the product form of 800 to help you in your math homework journey! Hence, 1800 and 931 have only one common factor which is 1. The factors of 1800 are too many, therefore if we can find the prime factorization of 1800, 588 = 2 x 2 x 3 x 7 x 7 Change Language. See also in this web page a Prime Factorization Chart with all primes from 1 to 1000. The prime factorization is the decomposition of a composite number into a product of prime factors that, if multiplied, recreate the original number. Enter the integer number you want to get its prime factors: Look at the 2 factors and determine if at least one of them is not prime; Repeat this process until all factors are prime. A prime factor is a positive integer that can only be divided by 1 and itself. How many Prime Factors of 1800? That's why we call them the building blocks of numbers! They are also called the leaves of the factor tree. Factors by definition are the numbers that . 2 x 2 x 2 x 2 x 2 x 5 x 5 = 800. You should now have the knowledge and skills to go out and calculate your own factors and factor pairs for any number you like. (3-1 ) (2) and by permutation we have 4*3*2*1/2*2=6ways. Prime Factorization Calculator The product of factors {2, 2, 2, 3, 3, 5, 5} form the given positive integer 1800. Just right click on the above image, choose copy link address, then past it in your HTML. Further dividing 225 by 2 gives a non-zero remainder. 9 is a compound number; it is divisible by a prime number 3: 18 = 2 3 3. As 1800 is a composite number, we can draw its factor tree: . A complete guide to the factors of 800. Express 1800 as product of prime factors A 2 2 x 3 3 x 5 2 B 2 3 x 3 2 x 5 C 2 3 x 3 2 x 5 2 D 3 3 x 2 3 x 5 Solution The correct option is C 2 3 x 3 2 x 5 2 Factorising 1800, we get 1800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 = 2 3 x 3 2 x 5 2 Hence 2 3 x 3 2 x 5 2 is the answer. Exponentially it can be written as 180 = 2 2 x 3 2 x 5 Explore factors using illustrations and interactive examples. Write 1800 as product of prime factors./Mathematics/Class10 Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property. Complete step by step answer: We are given numbers as 1000. So when we talk aqbout prime factorization of 800, we're talking about the building blocks of the number. Cumulative all the circle value in multiply (times) format, like this: 2223355. 100 as a Product of Prime Factors - Visual Fractions This gives:5*4*3!/2*1*3!=10ways. VisualFractions.com, http://visualfractions.com/calculator/prime-factors/1820-as-a-product-of-prime-factors/. We may also express the prime factorization of 1800 as a Factor Tree: This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. 1800 prime factorization provides more information on if 1800 is a prime number, what are all the prime factors of 1800. The sum of all factors of 1800 is 6045. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . The expression 2 3 3 2 is said to be the prime factorization of 72. Express the following number as a product of power of prime factor. For example, we can write the number 72 as a product of prime factors: 72 = 2 3 3 2. Prime factorization example 1 Let's find the prime factorization of 72. Fun fact! For example, the only divisors of 7 are 1 and 7, so 7 is a prime number, while the number 72 has divisors deived from 2332 like 2, 3, 4, 6, 8, 12, 24 and 72 itself, making 72 not a prime number. And hence their product is 10. Easy. Enjoy solving real-world math problems in live classes and become an expert at everything. In this case, the prime factors of 1820 are: We can now easily show 1820 as a product of the prime factors: Fun fact! 72 = 2 x 36 Let's do a quick prime factor recap here to make sure you understand the terms we're using. As 1800 is a composite number, we can draw its factor tree: Here is the answer to questions like: What is the prime factorization of 1800? We are not permitting internet traffic to Byjus website from countries within European Union at this time. A complete guide to the factors of 1820. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. A prime number is an integer greater than one which is divided only by one and by itself. A prime factor is a positive integer that can only be divided by 1 and itself. A prime number is a number that is only divisible by itself and one. If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. 588 = 22 x 3 x 72 (prime factorization exponential form). Common factors of 1800 and 350 are [1, 2, 5, 10, 25, 50]. So there you have it. Prime factorization is the decomposition of a composite number into a product of prime numbers. Factors by definition are the numbers that multiply to create another number. Again we can use 2, and write the 36 as 2 x 18, to give. In short, we would write the solution as: The factors of 1800 in pairs are: NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number. A complete guide to the factors of 800. What is the prime factorization of 1800? - CoolConversion About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright . VisualFractions.com. Square Root Prime Factorization - Basics, Definition, Methods and 1800/8 = 225; therefore, 8 is a factor of 1800 and 225 is also a factor of 1800. Accessed on July 17, 2023. http://visualfractions.com/calculator/prime-factors/1820-as-a-product-of-prime-factors/. Prime Factorization by the Ladder Method:1,800 is divisible by 2, 1,800/2 = 900900 is divisible by 2, 900/2 = 450450 is divisible by 2, 450/2 = 225225 is divisible by 3, 225/3 = 7575 is divisible by 3, 75/3 = 2525 is divisible by 5, 25/5 = 55 is a prime numberPrime Factorization of 1,800: 1,800 = 2 x 2 x 2 x 3 x 3 x 5 x 5Prime Factorization of 1,800 in Exponential Form: 1,800 = 23 x 32 x 52. The prime factorization is the decomposition of a composite number into a product of prime factors that, if multiplied, recreate the original number. Is Express 1800 a product of its prime factors? - Quora When you multiply all the Prime Factors of 1800 together it will result in 1800. Here is the complete solution of finding Prime Factors of 1800: The smallest Prime Number which can divide 1800 without a remainder is 2. then the total number of factors can be given by (x + 1)(y + 1)(z + 1). What is the prime factorization of 1800 [SOLVED] - Mathwarehouse.com Solution 1 Start with the smallest prime number that divides into 72, in this case 2. (5-2)! Prime factors of 1800 1800 = (?) 1998-2023 VisualFractions.com. Prime Factorization of 1800 - Calculation Calculator What are Factors of 1800? So we stop the process and continue dividing the number 225 by the next smallest prime factor. In this case, the prime factors of 100 are: 2 2 5 5 We can now easily show 100 as a product of the prime factors: 2 x 2 x 5 x 5 = 100 Fun fact! Product of Prime Factors - YouTube Accessed on July 17, 2023. http://visualfractions.com/calculator/prime-factors/800-as-a-product-of-prime-factors/. Prime factors of 1800 - Calculatio 5 7 We can now easily show 280 as a product of the prime factors: 2 x 2 x 2 x 5 x 7 = 280 Fun fact! 2, 2, 2, 3 and 3 are all prime numbers, so we have our answer. Prime Factorization of 1800 = 23 32 52 Volume to (Weight) Mass Converter for Recipes, Weight (Mass) to Volume to Converter for Recipes. 1998-2023 VisualFractions.com. In other words, the factors of 288 are the numbers that get multiplied in pairs to create it. Therefore, the prime factors of 180 are 2, 3, and 5 only. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further. Just make sure to pick small numbers! The integers that divide 270 without leaving a remainder are its factors. The site owner may have set restrictions that prevent you from accessing the site. Pair factors of 1800 are the pairs of numbers that when multiplied give the product 1800. As 1800 is a composite number, we can draw its factor tree: Here is the answer to questions like: Find the prime factorization of 1800 using exponents or is 1800 a prime or a composite number? The factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800 and its negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -30, -36, -40, -45, -50, -60, -72, -75, -90, -100, -120, -150, -180, -200, -225, -300, -360, -450, -600, -900, -1800. Accessed 17 July, 2023. The factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800 and factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. To find the factors of 1800, we will have to find the list of numbers that would divide 1800 without leaving any remainder. Continue with Recommended Cookies. Prime Factorization of 1800 it is expressing 1800 as the product of prime factors. 18 also divides by 2 (18 = 2 x 9), so we have: Factors of 1800 are the list of integers that can be evenly divided into 1800. Do you want to express or show 1820 as a product of its prime factors? It's also used in finding the least common multiple (LCM) of a set of numbers and the greatest common divisor (GCD) of a set of numbers. In other words, 1800 can be divided by 1, by itself and at least by 2, 3 and 5. When we count the number of prime numbers above, we find that 1800 has a total of 7 Prime Factors. The main method of prime factorization is start dividing the number by the any divisible numbers until the only numbers left are prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, etc.). In the final step you can write the product (s) of repeating prime numbers as a power (s). List of prime numbers before 1800: The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270. What Are The Factors of 288? Prime factorization (video) | Khan Academy Therefore, the number 284 is not a factor of 1800. To get a list of all Prime Factors of 1800, we have to iteratively divide 1800 by the smallest prime number possible until the result equals 1. 1820 as a Product of Prime Factors. 72 = 2 x 36 Therefore, 2 is one of the prime factors. Factor tree or prime decomposition for 1800. Note that these dividers are the prime factors. An example of data being processed may be a unique identifier stored in a cookie. How to Calculate Prime Factorization of 1800. Examples : Input: num = 10 Output: Product is 10 Explanation: Here, the input number is 10 having only 2 prime factors and they are 5 and 2. 72 = 2 x 2 x 18 108=2^2xx3^3 192=2^6xx3Express each of the following as a product of prime factors only in exponential form: (i) 108 xx 192 (ii) 1270 (iii) 729 xx 64 (iv) 768. Factors of 180 - Cuemath When we refer to the word "product" in this . Retrieved from http://visualfractions.com/calculator/prime-factors/1820-as-a-product-of-prime-factors/. Find the Greatest Common Factor by Prime Factorization, Find the Least Common Multiple by Prime Factorization, List the Factors and Factor Pairs of a Whole Number, Test a Number for Divisibility by Three (3). 72 = 2 x 2 x 2 x 3 x 3 VisualFractions.com. 2. 15 3 = 5 5 is a prime number we cannot divide further. We and our partners use cookies to Store and/or access information on a device. Eager to continue your learning of prime factorization? Since, the factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800 and factors of 931 are 1, 7, 19, 49, 133, 931. Please link to this page! It also shows how to write the prime factorization using exponential notation. No tracking or performance measurement cookies were served with this page. That's why we call them the building blocks of numbers! Let's find the prime factorization of 72. Express the following numbers as a product of power of prime factors: 800 as a Product of Prime Factors. 1800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 Prime factorization is the process of finding the prime numbers that multiply together to form a given positive integer. Therefore, 1800 and 931 are co-prime. The consent submitted will only be used for data processing originating from this website. The first step is to find two numbers that multiply together to make 140. 9 divides by 3 (9 = 3 x 3), so we have: The Prime Factors of 1800: 23 32 52. While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions. 1820 as a Product of Prime Factors - Visual Fractions Prime Factorization of 1,800: 1,800 = 2 x 2 x 2 x 3 x 3 x 5 x 5. If it is a perfect square, find its square root by factorization method. or is 1800 a prime or a composite number? Just make sure to pick small numbers! Math is at the core of everything we do. Verified by Toppr. In how many possible ways can you write 1800 as a product of 3 positive Now find the smallest prime number that divides into 36. If the prime factorization of the number Expert Maths Tutoring in the UK - Boost Your Scores with Cuemath Enter your number below and click calculate. In this tutorial we are looking specifically at the prime factors that can be multiplied together to give you the product, which is 800. {2, 2, 2, 3, 3, 5, 5} are the prime factors of 1800. 5 is a prime number. There are multiple pairs that will do this e.g. Product of unique prime factors of a number - GeeksforGeeks Example 4: Find the product of all the prime factors of 1800. 72 = 2 x 2 x 2 x 9 For example, it can help you find out, Prime Factors of 1800: 2, 2, 2, 3, 3, 5, 5, The Prime Factorization of the number 1800 in the exponential form is: 2, https://calculat.io/en/number/prime-factors-of/1800, Prime factors of 1800 - Calculatio. Answer. In this example, let's start with 10 14. We get 1000 2 = 500 1000 2 = 500. Since, the prime factors of 1800 are 2, 3, 5. 588 = 22 x 3 x 72 (prime factorization exponential form). Solution. Write x as a product: x = p x1. Prime numbers from 1 to 1800. - Factors of We will find out more about the reason why later on. This video explains the concept of prime numbers and how to find the prime factorization of a number using a factorization tree. A complete guide to the factors of 280. What is prime factorization? Note that these dividers are the prime factors. All Rights Reserved. That's why we call them the building blocks of numbers! Note the the only "prime" factors of 72 are 2 and 3 which are prime numbers. 72 = 2 x 36 Prime factorization is an important concept in mathematics and is used in many branches of mathematics, including number theory, cryptography, and computer science. Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Retrieved from http://visualfractions.com/calculator/prime-factors/800-as-a-product-of-prime-factors/. When we refer to the word "product" in this, what we really mean is the result you get when you multiply numbers together to get to the number 1820. Let's find the prime factorization of 72. Express 1800 as product of prime factors - BYJU'S 4425 1 Min Read Table of Contents In how many possible ways can you write 1800 as a product of 3 positive integers a, b and c. In how many possible ways can you write 1800 as a product of 3 positive integers a, b and c. the Prime Factors of 1800 = 2 X 2 X 2 X3 X3 X 5 X 5 ( 3-1 ) (2) ways and by permutation we have:5!/2! ( 3-1 ) (2) ways and by permutation we have:5!/2!(5-2)! VisualFractions.com. Repeat this procedure until x1 is a prime number. 72 = 2 x 36 Hence, 1800 = (?) There is one one set of unique prime factors that can be multiplied to equal 800. We can write 72 as: Enter the integer number you want to get its prime factors: Look at the 2 factors and determine if at least one of them is not prime; Repeat this process until all factors are prime. The prime factors of 800 are all of the prime numbers in it that when multipled together will equal 800. If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. This gives \(2 \times 2 \times 2 \times 5\). Example 3: Find if 9, 15, 25, 40, 50, 60, 75 and 284 are factors of 1800. We really appreciate your support! Prime Factors of 1800 are 2, 2, 2, 3, 3, 5, 5. So the first calculation step would look like: 1800 2 = 900 Now we repeat this action until the result equals 1: 900 2 = 450 450 2 = 225 225 3 = 75 75 3 = 25 25 5 = 5 5 5 = 1 1800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 Hence, {2, 2, 2, 3, 3, 5, 5} are the prime factors of 1800. A prime factor is a positive integer that can only be divided by 1 and itself. Since number 1800 is a Composite number (not Prime) we can do its Prime Factorization. The number 1800 is not a prime number because it is possible to express it as a product of prime factors. The numbers that divide 288 completely, without a remainder, are its factors. Note the the only "prime" factors of 72 are 2 and 3 which are prime numbers. Write 1800 as product of prime factors - YouTube Start with the smallest prime number that divides into 72, in this case 2. While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions. Here is the complete solution of finding Prime Factors of 1800: The smallest Prime Number which can divide 1800 without a remainder is 2. Write all of the circled prime numbers (found in the prime factor tree) as a product. We can write 72 as: Find the prime factorization of 1800 using exponents - CoolConversion In other words, it's the process of expressing a positive integer as a product of prime numbers. You just get the Prime Factorization of that value (1800). Use the Prime Factorization tool above to discover if any given number is prime or composite and in this case calculate the its prime factors. What Are the Factors of 270? It is: 2, 2, 2, 3, 3, 5, 5, Or you may also write it in exponential form: 23 32 52. 0:00 / 13:14 Product of Prime Factors (Higher & Foundation) | GCSE Maths Tutor The GCSE Maths Tutor 167K subscribers Join Subscribe 605 Share 32K views 3 years ago Number A video revising the. "800 as a Product of Prime Factors". Prime factors - Multiples and factors - Edexcel - BBC To find the prime factorization of a number, you need to break that number down to its prime factors. Real Numbers(Question & Solution)Chapter-1MathematicsClass 10Write 1800 as product of prime factors.Solution: 1800=2223355Channel link:https://youtube.. There is one one set of unique prime factors that can be multiplied to equal 1820. 1 0 0 0 = 2 3 . In this case, the prime factors of 800 are: We can now easily show 800 as a product of the prime factors: Fun fact! In this tutorial we are looking specifically at the prime factors that can be multiplied together to give you the product, which is 1820. Trial division: One method for finding the prime factors of a composite number is trial division. Feel free to try the calculator below to check another number or, if you're feeling fancy, grab a pencil and paper and try and do it by hand. 72 = 2 x 2 x 2 x 9 72 = 23 x 32 (prime factorization exponential form), Taking the left-hand numbers and the right-most number of the last row (dividers) an multiplying then, we have, 72 = 23 x 32 (prime factorization exponential form). All numbers except 284 are factors of 1800. 72 = 2 x 2 x 2 x 3 x 3 Teaching Product of Prime Factors | Houghton Mifflin Harcourt 72 = 2 x 2 x 2 x 3 x 3 For example, the only divisors of 7 are 1 and 7, so 7 is a prime number, while the number 72 has divisors deived from 2332 like 2, 3, 4, 6, 8, 12, 24 and 72 itself, making 72 not a prime number. 72 = 2 x 2 x 18 Download BYJU'S The Learning App 72 = 2 x 2 x 2 x 3 x 3 In how many possible ways can you write 1800 as a product of 3 positive integers a, b and c. Space-Saving Home Upgrades for Gen Z Homeowners, Basic Trigonometry Formulas: A Comprehensive Guide, Free Poker Hands Strategies for Beginners, Navigating Turkish Language Trends on Social Media: Insights and Strategies, How to Manage Your Income When Wage Garnishment is Involved. Prime Factorization of 1800 is 2223355. "1820 as a Product of Prime Factors". The question has asked for a product of prime factors. We really appreciate your support! Sum of all factors of 1800 = (23 + 1 - 1)/(2 - 1) (32 + 1 - 1)/(3 - 1) (52 + 1 - 1)/(5 - 1) = 6045. Now find the smallest prime number that divides into 36. There are many factoring algorithms, some more complicated than others. Just right click on the above image, choose copy link address, then past it in your HTML. Therefore, the product of prime factors = 2 3 5 = 30. go to slidego to slidego to slidego to slide, go to slidego to slidego to slidego to slidego to slide. The factors of 270 are the numbers that give the product as 270 when they are multiplied. They are also called the leaves of the factor tree. So there you have it. the Prime Factors of 1800 = 2 X 2 X 2 X3 X3 X 5 X 5, To get the total number of ways 1800 can be written as a product of 3 integers we get the product of ways its prime factors can be written. Finding prime factors - Writing a number as a product of its prime Let us try to divide it by 2 which is the smallest prime number. So, 1800 is a 'composite number'. (3-1 ) ( 2) and by permutation,we have:4*3*2*1/2*2=6ways. Hence, the Greatest Common Factor of 1800 and 350 is 50. A prime number is an integer greater than one which is divided only by one and by itself. The prime factors of 100 are all of the prime numbers in it that when multipled together will equal 100. Ready to see the world through maths eyes? For calculation, here's how to calculate Prime Factorization of 1800 using the formula above, step by step instructions are given below. As a result of the EUs General Data Protection Regulation (GDPR). How to Write a Number as a Product of Its Prime Factors Expert Maths Tutoring in the UK - Boost Your Scores with Cuemath Eager to continue your learning of prime factorization? Factors of 1800 are pairs of those numbers whose products result in 1800. Factors by definition are the numbers that multiply to create another number. VisualFractions.com, http://visualfractions.com/calculator/prime-factors/800-as-a-product-of-prime-factors/. then the total number of factors can be calculated using the formula shown below. These factors are either prime numbers or composite numbers. We can write 72 as: 72 = 2 x 36 Now find the smallest prime number that divides into 36. The solution above and other related solutions were provided by the Prime Factorization Application. 72 = 23 x 32 (prime factorization exponential form), Taking the left-hand numbers and the right-most number of the last row (dividers) an multiplying then, we have, 72 = 23 x 32 (prime factorization exponential form). There are many methods to find the prime factors of a number, but one of the most common is to use a prime factor tree: Start the factor tree using any pair of factors (two numbers that. Why not try the next number on our list and see if you can calculate the product of prime factors for it for yourself? What is 1820 as a Product of Prime Factors? Express the following numbers as a product of power of prime factors: 1 0 0 0. So there you have it. Start with the smallest prime number that divides into 72, in this case 2. Therefore, the Least Common Multiple (LCM) of 1800 and 56 is 12600 and Highest Common Factor (HCF) of 1800 and 56 is 8. "800 as a Product of Prime Factors". 9 divides by 3 (9 = 3 x 3), so we have: Every number can be represented as a product of prime numbers. Express each of the following as a product of prime factors - doubtnut Requested URL: byjus.com/question-answer/express-1800-as-product-of-prime-factors22-x-33-x-52-23-x-32-x/, User-Agent: Mozilla/5.0 (iPhone; CPU iPhone OS 14_8_1 like Mac OS X) AppleWebKit/605.1.15 (KHTML, like Gecko) Version/14.1.2 Mobile/15E148 Safari/604.1.
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