225 as a product of prime factors225 as a product of prime factors

Trial division: One method for finding the prime factors of a composite number is trial division. We really appreciate your support! What Are The Factors Of 225: Prime Factors Of 225 The process of finding the prime factors of \(225\) is called prime factorization of \(225\). Expert Maths Tutoring in the UK - Boost Your Scores with Cuemath We can find the factors of \(225\) by using below methods: Prime factorization is the process of expressing a composite number as a product of its prime factors. Solution: Question 10. (ii) 225 22511 = 20.45. = 1 100000 + 6 10000 + 9 1000 + 8 100 + 3 10 + 5 100 First write the factors of \(65\) and the factors of \(225\). Therefore, the prime factors of \(225\) are \(3\), and \(5\). VisualFractions.com. "Prime Factors of 225". Learn the following steps to calculate the factors of a number 144. = 700000000 + 300000 + 700 + 60 + 9 Solution: Question 16. Prime Factors of 225. Therefore, Factors of 162are2 3 3 3. (i) (52)3 = 523 = 56 The factors of \(225\) are \(1, 3, 5, 9, 15, 25, 45, 75\), and \(225\). VisualFractions.com. Factors of \(65\) = \(1, 5, 13\), and \(65\). (iii) We have The factors of \(15\) are \(1, 3, 5\), and \(15\), while the factors of \(225\) are \(1, 3, 5, 9, 15, 25, 45, 75\), and \(225\). Express 216 as a product of power of prime factors. - Vedantu (b) (80 20) (80 + 20) There are a variety of ways to find the prime factors of a number. 1 225 = 225 3 75 = 225 5 45 = 225 9 25 = 225 The factors of 225 are those numbers that completely divide it without leaving any remainder. We are going to calculate the prime factors by factorization of the 225 methods. Thus, 144 = 24 32 "Ifa numberhas more than two factors then it is known as a composite number." 180 2 = 90 90 2 = 45 which cannot be divided by2 3 (i) 8,19,00,000 = 8.19 107 Here, we can take it as \(3\) and pair it up with \(75\), as \(3\) multiplied by \(75\) gives \(225\). What is the prime factorization of 180? + Example - Socratic Want to find the prime factor for another number? About Transcript This video explains the concept of prime numbers and how to find the prime factorization of a number using a factorization tree. The table below shows the factor pairs of \(225\): Therefore, from the above table we see that - \((1, 225)\), \((3, 75)\), \((5, 45)\), \((9, 25)\), and \((15, 15)\) are the only pair factors of \(225\). Therefore, the factors of \(225\) are \(1, 3, 5, 9, 15, 25, 45, 75\), and \(225\) by division method. Therefore, the highest common factor (HCF) of \(867\) and \(225\) is \(3\). The number 162 isan even composite number, that is because ithas several factors. The site owner may have set restrictions that prevent you from accessing the site. How to Find the Prime Factors of 144 by Division Method? - BYJU'S Prealgebra Factors and Multiples Prime Factorization 1 Answer EZ as pi Aug 11, 2016 The prime factors are 3 and 5 The product of the prime factors is: 225 = 3 3 5 5 Explanation: To find the prime factors, keep dividing by the prime numbers which are. We know that \(225\) is not a prime number, but it can be expressed as the product of prime numbers. Write the following in expanded form: (iii) (-1) (-1) (-1) (-1) (-1) = (-1)5 Prime factors of \(225\) are all the prime numbers that when multiplied together equal \(225\). around the world. When we divide \(225\) by \(1\), we get \(225\) with no remainder. Prime factors of 225 - Calculatio Example 3: Express 66 as a product of its prime factors. Let's do it step by step to understand it more clearly :- 405 = 3 3 3 3 5 = 34 51 Look for multiples common to both lists. Requested URL: byjus.com/maths/factors-of-144/, User-Agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/103.0.5060.114 Safari/537.36 Edg/103.0.1264.49. Looking to get a list of the prime factors of 225? What are the Factors of 180? The number itself is a factor of the number as it divides itself exactly. Solution Find out the prime factors: Divide 225 by the least prime number 3 by which it is completely divisible. Simplify the following and write in exponential form: We can now easily show 25 as a product of the prime factors: 5 x 5 = 25. (iv) (10000)0 = 1 [ a0 = 1], Question 5. What are the Factors of 225? Step 5: Again, divide \(3\) by the smallest prime factor, i.e., \(3\) as \(\frac{3}{3}=1\). We have 32 = 3 3 = 9 5: lcm Exponents and Powers Class 7 Extra Questions Maths Chapter 13 Solution: This calculator presents: Prime factors of a number Prime decomposition in exponential form CSV (comma separated values) list of prime factors Factorization in a prime factors tree \(225\) can be expressed as a product of two numbers in all possible ways. A number is said to be prime if it has only two factors. Finding prime factors - Writing a number as a product of its prime Solution: In other words, the numbers multiplied in pairs resulting in 180 are the factors of 180. 25 as a Product of Prime Factors - Visual Fractions 225 = 3 3 5 5 = 32 52 If we consider negative integers, then both the numbers in the pair factors will be negative. Expert Maths Tutoring in the UK - Boost Your Scores with Cuemath As a result of the EUs General Data Protection Regulation (GDPR). (a) We have 30 40 = 1 1 = 1 [ a0 = 1] You then repeat the same process by taking the result and dividing that number by the smallest prime number. Solution: Question. Thus, 729 125 = 36 53 (ii) 4 4 4 5 5 5 = 43 53 Factor 2 = 162 (3) = (54) Name them. \(75\) can be further expressed as \(3\) multiplied by \(25\). So, when you multiply any two whole numbers with each other and get 225 as the answer, you can say that both these numbers are the factors of 225. Solution: (i) We have 144 = 2 2 2 2 3 3 = 2 4 3 2 Thus, 144 = 2 4 3 2 (ii) We have 225 = 3 3 5 5 = 3 2 5 2 Thus, 225 = 3 2 5 2 Question 4. The factors of \(225\) that add up to \(30\) are \((5, 25)\) as \(5 + 25 = 30\) and \((15, 15)\) as \(15 + 15 = 30\). The prime factorization of \(225\) is \(5^{2} \times 3^{2}\). What are the prime factors of 225? Maths Q&A - BYJU'S Similarly, we can find the negative factor pairs of \(225\) as follows: Therefore, from the above table we see that negative factor pairs of \(225\) are \((-1, -225)\), \((-3, -75)\), \((-5, -45)\), \((-9, -25)\), and \((-15, -15)\). = 216 + 80 = 1 105 + 6 104 + 9 103 + 8 102 + 3 101 + 5 100, Question 14. Stay, tuned to the Testbook App for more updates on related topics from Mathematics, and various, such subjects. It has no prime factors and is neither prime nor composite . Just make sure to pick small numbers! = 3 1 There are in total 8 factors of 162. There are 5 factor pairs of 162 (1,162),(2,81),(3,54),(6,27), and (9,18). 2.10: Prime Factorization and the Least Common Multiple (Part 2) How do you make a prime factorization tree? Find the value of: All composite numbers can be expressed as a product of prime factors. As a bonus, we'll also list out the prime factor tree of 225 the product of prime factors of 225, and tell you how many prime factors 225 has. Factors of 225: Prime Factorization, Methods, Tree, and Examples Factors of 225 - Find Prime Factorization/Factors of 225 - Cuemath (ii) We have Can you try and find out if all the factors are covered or not? "The factors of 162 are all the integers that 162 can be splitinto.". In other words, the factors of 240 are the numbers that are multiplied in pairs resulting in the original number 240. Pair factors of a number are the pairs of two numbers that when multiplied together give the original number. We know that the factors of \(225\) are \(1, 3, 5, 9, 15, 25, 45, 75\), and \(225\). 360 = 36 xx 10 360 = 3xx12 xx2xx5 360 = 3xx3xx2xx2xx2xx5 360 = 2xx2xx2xx3xx3xx5 Now write the factors with exponents: 360 = 2^3 xx 3^2 xx 5. 1998-2023 VisualFractions.com. You should now have the knowledge and skills to go out and calculate your own factors and factor pairs for any number you like. //]]>, Question 2. The factors of \(225\) are \(1, 3, 5, 9, 15, 25, 45, 75\), and \(225\). Factors of 240 | How to Find the Prime Factors of 240 by the Prime It also shows how to write the prime factorization using exponential notation. Product of factors of 225 = 1 x 3 x . Step 3: Try to divide \(225\) by the above numbers and see the results. Now, 81 is divided by its smallest prime factor and the quotient is obtained. Thus, 384 147 = 27 32 72, Question 12. The factors of \(\textbf{225}\) are the numbers that can be multiplied together to get the product \(225\). Prime factorization of a number is defined as expressing the number as the product of prime numbers only. Find the prime factorization of 225 using exponents - CoolConversion Therefore, the prime factors of \(225\) are \(3\), and \(5\). Then take the result from that and divide that by the smallest prime number. Gauthmathier6566. The prime factors shown above (3, 3, 5, and 5) are completely unique to 225. In this lesson, we will calculate the factors of 162, prime factors of 162,and factors of 162 in pairs along with solved examples for a better understanding. We start with 1, and then check the following numbers 2, 3, 4, 5, 6, 7, and so on, up to 81(half of 162). First write the factors of \(135\) and \(225\): Factors of \(135\): \(1, 3, 5, 9, 15, 27, 45, 135\). Why not try the next number on our list and see if you can calculate the prime factors of it for yourself? Find the value of: (i) (-1) 1000 (ii) (1) 250 (iii) (-1) 121 (iv) (10000) 0 Solution: (i) (-1) 1000 = 1 [ (-1) even number = 1] (ii) (1) 250 = 1 [ (1) even number = 1] This process goes on till we get the quotient as 1. Want to know more about this Super Coaching ? (i) (52)3 Thus, 343 = 73 One notable example is with cryptography, or the study of creating and deciphering codes. Copyright 2014-2023 Testbook Edu Solutions Pvt. In other words, 225 as a product of prime factors is \(5 \times 5 \times 3 \times 3\). This number is the LCM. Trial division is one of the more basic algorithms, though it is highly tedious. Factors of 225: The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, and 225. Of these factors, 2 and 5 are the only prime numbers, hence we call these the prime factors of 20. The HCF of \(867\) and \(225\) is the largest possible number that divides \(867\) and \(225\) exactly without any remainder. Eager to continue your learning of prime factorization? (i) We have (i) We have In other words, the factors of \(225\) are the numbers that divide \(225\) without leaving a remainder. How do you find prime factorization of a number. Therefore, \(1, 3, 5, 9, 15, 25, 45, 75\), and \(225\) are the only factors of \(225\). So, the prime factorization of \(225\) is \(5 \times 5 \times 3 \times 3\). The product of all the prime factors of \(225\) is simply the product of the prime factors, which is \(5^{2} \times 3^{2} = 225\). In other words, the factors of \(150\) are the numbers that divide \(150\) without leaving a remainder. The prime factor products of 225 are listed below: So there you have it. Express the following in exponential form: The numbers which we multiply to get 162 are the factors of 162, Factors of 162 are written as 1,2, 3, 6, 9, 18, 27, 54, 81 and 162. To get the prime factorsof 162, we divide it by its smallest prime factor which is 2,1622 = 81. Prime factorization of 225 using exponents can be written as 5^{2} \times 3^{2}\). Prime Factors of 225. Ex 1.1, 1 Express each number as a product of its prime factors: (i) 140 Hence, 140 = 2 2 5 7 = 22 5 7 There are \(2\) common factors of \(867\) and \(225\), that are \(1\) and \(3\). The factors of \(225\) are the numbers that can be multiplied together to get the product \(225\). These factors of 162 can also be integers, as we can have negative factors of 162 as well. In this mathematics article, we will learn about the factors of \(225\), how to find the factors of \(225\) by different methods such as prime factorization method, factor tree method, etc, and where it can be used with some solved examples. Factor pairs of 162 are (1,162) (2,81) (3,54) (6,27) and (9,18). Solution: A factor tree can be used to learn about the prime factorization and prime factors of 225. The prime factors of 25 are all of the prime numbers in it that when multipled together will equal 25. The prime factor products of 225 are listed below: 3 x 3 x 5 x 5 = 225. To be specific, the prime factorization method is used to figure out the prime factors of a number. (ii) 5,94,00,00,00,000 = 5.94 1011 As 240 is an even composite number, it has more than two factors. Thus, 405 = 34 51 The number 162 is an even composite number. However, it can be extremely difficult to factor a number. (i) 144 The prime factors of \(225\) are \(3\), and \(5\). This is called the Product of Prime Factors of 225. //What are the prime factors of 225? | Socratic The highest common factor of 162and 216 is 54. Ex 1.1, 1 (i) Class 10 - Express 140 as product of its prime factors When we multiply all of them together the result will be 225 and this is what we call the product of prime factors of 225. = 1000 + 54 + 1 From the factor tree, we can see that the prime factorization of 225 is 3 3 5 5 = 3 2 5 2. 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. Step 2: Next, we try dividing \(225\) by the smallest prime number, which is \(5\). \(25\) can be further expressed as \(5\) multiplied by \(5\). 162 is not a perfect square numberbecause its square root is not a whole number. (i) 5 5 5 5 5 Why Do Prime Factors Matter? Accessed on July 17, 2023. http://visualfractions.com/calculator/prime-factors/prime-factors-of-225/. The prime factorization of \(225\) is \(225 = 3^{2} \times 5^{2}\). (ii) 4 107 + 6 103 + 5 What are the prime factors of 225? - Toppr Express 343 as a power of 7. Prime Factorization is one of the techniques which is used to determine the factors of a number. (i) 405 The numbers that divide 180 completely and leave a remainder value of 0 are the factors of 180. To get the prime factors of 225 we need to divide 225 by the smallest prime number possible. First, write the number 144 Find the two numbers, which gives the result as 144 under the multiplication, say 2 and 72, such as 2 72 = 144. Composite numbers can be defined as numbers that have more than two factors. The number 225 is a composite number so, it is possible to factorize it. (ii) 5,94,00,00,00,000 (iii) (-1)121 (ii) 384 147 There are 12 factors of 90 of which 90 itself is the biggest factor and its prime factors are 2, 3, and 5 The Prime Factorization of 90 is 2 3 2 5. Factors of 300 : The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300. Consider the numbers 144 and 225, => Factorizing the first number, => 144 = 2 x 72, => 144 = 2 x 2 x 36, => 144 = 2 x 2 x 2 x 18, The factors of \(150\) are \(1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75\), and \(150\). Step 3: The only positive integers that divide evenly into \(225\) are \(1, 3, 5, 9, 15, 25, 45, 75\), and \(225\). How to find the product of prime factors? Since 9 > 8 The factors of \(150\) are the numbers that can be multiplied together to get the product \(150\). 2255 = 45. Factors of 225 (Pair Factors & Prime Factors of 225) - BYJU'S #90color(red)(2)=45 " which cannot be divided by" 2to3#, #15color(red)(3)=5" which cannot be divided by" 3to5#, #5color(red)(5)=1" having reached 1, we are there"#, #rArr180=color(red)(2xx2xx3xx3xx5)=2^2xx3^2xx5#, 30239 views The multiplicity of a prime factor p of n is the largest exponent m for which pm divides n. Prime factors of 225 - Math Tools In other words, 225 can be divided by 1, by itself and at least by 3 and 5. A prime number is a number that is only divisible by itself and one. (c) (20 + 30 + 40) (40 30 20) = 40006005. Solution: MH-SET (Assistant Professor) Test Series 2021. (iii) (-1) (-1) (-1) (-1) (-1) Complete step-by-step answer: First we will break 216 into smaller factors. (i) 5 5 5 5 5 = (5)5 (6) (80 20) (80 + 20) = (1 1) (1 + 1) = 0 2 = 0 Example 2 Can you help Candylist the factors of 162? In this case, the prime factors of 25 are: 5. Step 6: Now, we cannot divide \(1\) by any prime factor. Example 1 Help Allanto list the factors of 162and find the factor pairs. A number can be classified as prime or composite depending on their divisibility. In other words it is finding which prime numbers should be multiplied together to make 225. = 40000000 + 6000 + 5 To use the division method to find the factors of \(225\), follow these steps: Step 1: When we divide \(225\) by \(1, 3, 5, 9, 15, 25, 45, 75\), and \(225\), the remainder will be \(0\). Example 2.10.5 2.10. Here is one. Now that we have done the prime factorization of 162, we can multiply them and get the other factors. Question 15. The pair of numbers which gives 162 when multiplied is known as factor pairs of 162. 2252 = 122.5. Get Unlimited Access to Test Series for 750+ Exams and much more. Step 3: Again, divide \(45\) by the smallest prime factor, i.e., \(5\) as \(\frac{45}{5}=9\). (i) 7 108 + 3 105 + 7 102 + 6 101 + 9 Look for the smallest number that is common to both lists. The distinct factors of 162 are the numbers which when multiplied in pairsgive the product as 162. VisualFractions.com, http://visualfractions.com/calculator/prime-factors/prime-factors-of-225/. Answer: Prime Factors of 225: 3, 3, 5, 5 or 32 52 Explanation of number 225 Prime Factorization Prime Factorization of 225 it is expressing 225 as the product of prime factors. (iii) (ab)c = abc = abc For example, the number 20 has six factors; 1, 2, 4, 5, 10 and 20. window.__mirage2 = {petok:"0OgZ9KQQc8xuLNkW7nEOKydq_fHlpiCGRhNe4K4PCuA-1800-0"}; (ii) 1,69,835 Solution: Solution: RD Sharma Class 11 Solutions Free PDF Download, NCERT Solutions for Class 12 Computer Science (Python), NCERT Solutions for Class 12 Computer Science (C++), NCERT Solutions for Class 12 Business Studies, NCERT Solutions for Class 12 Micro Economics, NCERT Solutions for Class 12 Macro Economics, NCERT Solutions for Class 12 Entrepreneurship, NCERT Solutions for Class 12 Political Science, NCERT Solutions for Class 11 Computer Science (Python), NCERT Solutions for Class 11 Business Studies, NCERT Solutions for Class 11 Entrepreneurship, NCERT Solutions for Class 11 Political Science, NCERT Solutions for Class 11 Indian Economic Development, NCERT Solutions for Class 10 Social Science, NCERT Solutions For Class 10 Hindi Sanchayan, NCERT Solutions For Class 10 Hindi Sparsh, NCERT Solutions For Class 10 Hindi Kshitiz, NCERT Solutions For Class 10 Hindi Kritika, NCERT Solutions for Class 10 Foundation of Information Technology, NCERT Solutions for Class 9 Social Science, NCERT Solutions for Class 9 Foundation of IT, PS Verma and VK Agarwal Biology Class 9 Solutions, NCERT Solutions for Class 10 ScienceChapter 1, NCERT Solutions for Class 10 ScienceChapter 2, Periodic Classification of Elements Class 10, NCERT Solutions for Class 10 ScienceChapter 7, NCERT Solutions for Class 10 ScienceChapter 8, NCERT Solutions for Class 10 ScienceChapter 9, NCERT Solutions for Class 10 ScienceChapter 10, NCERT Solutions for Class 10 ScienceChapter 11, NCERT Solutions for Class 10 ScienceChapter 12, NCERT Solutions for Class 10 ScienceChapter 13, NCERT Solutions for Class 10 ScienceChapter 14, NCERT Solutions for Class 10 ScienceChapter 15, NCERT Solutions for Class 10 ScienceChapter 16, CBSE Previous Year Question Papers Class 12, CBSE Previous Year Question Papers Class 10. How do you find the prime factorization of 20? (i) 729 125 "Prime Factors of 225". (i) 8,19,00,000 = 2, Question 17. 22517 = 13.23. (iii) (-1)121 = -1 [ (-1)odd number= -1] Solution: Factors of 162are 1, 2, 3, 9, 27, 54, 81 and 162. To calculate the factors of 162, we need to find all the numbers that divide 162, without leaving any remainder. For example #"5 only has 2 factors 1 and 5"rArr5=1xx5#, Here are the first few #color(blue)"prime numbers"#. 23 = 2 2 2 = 8 The following are the factors of 162in pairs. CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. = 216 1 + 81 1 (ii) 63 70 + (-3)4 90 (i). Factors of 162are the numbers that divide without any remainder. For 216 this would be 2 108 2 108 then again we will break 108 into smaller factors, for 108 this would be 2 54 2 54 and so on. Let's look at how to find all of the prime factors of 225 and list them out. What are the Factors of 240? The prime numbers used in this tree are the prime factors of 225. Prime Factorization Calculator The other factor is -54. When the remainder is 1 stop-we have obtained our prime factors. (iii) 6892.25 Tropic of Cancer passes through how many states? How many factors are there for number 225? (i) 70,824 The number 1 is called a unit. The factor tree method can be a useful way to visually see the prime factors of a number and to find all of the factors. Follow the steps: Step 1: To find the prime factors of \(225\), we start by dividing it by the smallest prime number, which is \(2\). The factors of \(225\) are \(1, 3, 5, 9, 15, 25, 45, 75\), and \(225\). (ii) 4 107 + 6 103 + 5 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. Composite factors of \(225\) are \(9, 15, 25, 45, 75\), and \(225\). So, \(1 + 3 + 5 + 9 + 15 + 25 + 45 + 75 + 225 = 403\). What are the positive and negative pair factors of 225? Which is greater 32 or 23? Eventually, you end up with the number 1. Express each of the following as a product of prime factors is the exponential form: (iii) 500 Solution: (ii) (1)250 However, \(2\) does not divide evenly into \(225\). Step 4: \(3\) is a prime number, so it will remain unchanged and we can further split \(25\) into smaller prime factors. (i) (-1)1000 Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90 The factors of \(225\) are the numbers that can divide \(225\) evenly without leaving a remainder. Therefore, each children will get \(15\) mangoes each. Express the following number as a powers of prime factors: In each product, both multiplicands are the factors of \(225\). How many Prime Factors of 225? Prime Factors Prime factors of 225 Prime factors of 225 : 3x3, 5x5 In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. Example 2: Write 525 as a product of its prime factors. There are \(6\) common factors of \(135\) and \(225\), that are \(1, 3, 5, 9, 15\), and \(45\). Example 1: Express 120 as a product of its prime factors. The division method is a systematic way of finding all the factors of a number. Properties Many properties of a natural number n can be seen or directly computed from the prime factorization of n . Since \(5\) divides evenly into \(225\), we can write: \(\frac{225}{5}=45\). Prime factorization is the decomposition of a composite number into a product of prime numbers. Expert Maths Tutoring in the UK - Boost Your Scores with Cuemath Therefore, these are the factors of \(225\). The prime factors of 225 are all of the prime numbers in it that when multipled together will equal 225. Therefore, \(403\) is the sum of factors of \(225\). 5. 2. (ii) 63 70 + (-3)4 90 (ii). This process goes on till we get the quotient as 1. The factors of a number \(x\) are the numbers that divide \(x\) with zero as a remainder. Find the value of Step 2: Check each integer to see if it divides evenly into \(225\), this means that it is a factor of \(225\). = 700300769 Observe the following table to check the factors of 162 by division: "Prime factorization means to express a composite number as the product of its prime factors." 504 = 2 2 2 3 3 7 = 23 32 71 Teaching Product of Prime Factors | Houghton Mifflin Harcourt Let us understand this with the help of an example. (iii) 6892.25 = 6.89225 103. 2,3,5,7,11.. until you get the answer 1. It's the age-old question that math teachers everywhere must contend with. Find the number from each of the expanded form: Prime Factors of 225 - Factorization Step 2: At the same time, when we divide \(225\) by numbers like \(2, 4\) or \(6\), it leaves a remainder. In other words, the factors of 225 are the numbers that divide 225 without leaving a remainder. Use this prime numbers calculator to find all prime factors of a given integer number up to 10 trillion. = 7 10000 + 0 1000 + 8 100 + 2 10 + 4 100 So, the common factors of \(15\) and \(225\) are \(1, 3, 5\), and \(15\). We will continue this process until we get all the factors as a prime number. So there you have it. (ii) 4 4 4 5 5 5 Factors of \(225\): \(1, 3, 5, 9, 15, 25, 45, 75, 225\). The factors of 162 are written as 1,2, 3, 6, 9, 18, 27, 54, 81, and 162. Step 3. = 7 104 + 8 102 + 2 101 + 4 100 These are the only positive integers that can be multiplied together in different ways to get the product \(225\). The factors of \(225\) are \(1, 3, 5, 9, 15, 25, 45, 75\), and \(225\). Division method to find factors of \(225\). A complete guide to the factors of 225. Prime factorization (video) | Khan Academy The prime factors shown above (3, 3, 5, and 5) are completely unique to 225. 25 5 = 5 Now, 81is divided by its smallest prime factor and the quotient is obtained. The common factors of \(225\) are the factors that \(225\) shares with another number. 75 3 = 25 Again divide 25 by prime number 5 by which it is completely divisible. Factor pairs are the pairs of two numbers that, when multiplied, give the number.