Looking to get a list of the prime factors of 600? He has 420 apples, oranges and strawberrieseach. a) Write 600 as the product of prime factors.Give your answer in index form. How to find the product of prime factors? The Prime Factors of 600: 23 3 52. 600 is not a prime number . Give your answer in index form. The eruption cycle of Mighty Joe is what percent longer than that of Big Bill? This is expressed as factors of 420 in ordered pairs as (number 1, number2). For example, the pair factor of 400 can be represented as (1, 400) or (-1, -400). To find : 600 as the product of prime factors in index form. The prime factorisation of 600 is, View the full answer. Which of the equations could be used to find the number of Experts love Qalaxia as they get to help students at their leisure and convenience, by answering and asking questions. To express 60 as a product of prime factors, use a factor tree. Write 600 as the product of prime factors. , ) erupts a column 75 feet high every 20 minutes. If a number is prime, write prime.$$600$$, Write each prime factorization. Factors of 420byprime factorization are given by using the following steps. , your answer to the nearest tenth of a percent. In all the cases below, 420 Divisor = Quotient, where remainder = 0 and also observe that 420 Quotient =Divisor, Explore factors using illustrations and interactive examples. Using the net below, find the surface area of the pyramid. 47310d) 2. Why not try the next number on our list and see if you can calculate the prime factors of it for yourself? Want to find the prime factor for another number? B) x = 1.5 The prime factors of 420 are 2, 3, 5 and 7. Writing a number as a product of its prime factors Part of Maths Multiples, factors and primes Revise Test 1 2 Finding prime factors Prime factors are factors of a number that are,. . Enter your number below and click calculate. Step 1/3 First, we find the prime factors of 600. Give your answer in index form. The pair of numbers when multipled together gets the number 420. Method 1: Factor Tree Method Method 2: Upside-Down Division Method Method 1: Factor Tree Method The factor tree of 600 is: Method 2: Upside-Down Division Method On dividing 600 by its smallest prime factor which is 2 we get, 600/2 = 30 300 is now divided by its smallest prime factor and the quotient is obtained. The ratio of smoothie size to mangos used for Bri is 7:1, and the ratio of smoothie size to mangos used for Angela is 4:28. Observe these numbers. Students can get for help for answering homework questions. A complete guide to the factors of 600. Qalaxia is a free question-and-answer site for classrooms. Math mastery comes with practice and understanding the Why behind the What. Experience the Cuemath difference. 2 See answers Advertisement Advertisement shary8 shary8 Answer: 2^3 x 3 x 5^2. The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200 and 400. 1 225 = 225 3 75 = 225 5 45 = 225 9 25 = 225 Example 2: Write 525 as a product of its prime factors. The common factors of1, 2,4, 5, 10 and20. 710a) 2. AI and expert-driven teaching assistant in every classroom, An amazing teacher by every students side whenever needed. 3 5 = 15 15 5 = 75 75 2 = 150 150 2 = 300 300 2 = 600 Therefore 600 as a product of prime factors is: 3 5 5 2 2 2 Advertisement bokhaira Answer: 600= 3x5^2x2^3 HCF= 150 Step-by-step explanation: The negative factor pairs of 420 are(-1, -420), (-2, -210), (-3, -140), (-4, -105), (-5, -84), (-6, -70), (-7, -60), (-10, -42), (-12, -35), (-14, -30),(-14, -30), (-15, -28) and (-20, -21). , an working together finish the same job (assume constant rates each for men, women, and boys)? Just make sure to pick small numbers! Number 1 Number 2 = 420. The table shows the number of mangos that were used for each of the different sizes of smooth Every number can be represented as a product of prime numbers. , your answer to the nearest tenth of a percent. (2 +1) (1 + 1) (1 + 1) (1 + 1) = 3 2 2 2 = 24 factors. , Subtract 1. 75/3. The prime factors of 60 are 2, 3, and 5. Prime factor index form is the expression of a number as the product of it's prime factors, where each prime factor is listed only once, either as itself or if necessary to a requiredpower. Another geyser in the park (called Mighty Joe Give your answer in index form. In how many days can 1 man, 1 boy and 1 wom 214 High Street, Here we go. This way we evaluate all the prime factors and express 420 as a product of its prime factors. The prime factors shown above (2, 2, 2, 3, 5, and 5) are completely unique to 600. The prime factor products of 600 are listed below: So there you have it. Students love Qalaxia as they earn rewards for providing correct answers to quiz questions and for posting good questions for experts to answer. So the answer is 150, the principle is that you continue to divide and subtract until you arrive at zero. Signing up means you are OK with Qalaxia's Terms of Service and Privacy Policy. Write 600 as a product of its prime factors in index form 649 viewed last edited 7 months ago The number 600 is to be written as a product of its prime factors what is the prime factorization of 600 prime factors of 600 in index form use index notation to write 600 as a product of its prime factors Guest User 0 Keep branching out the tree until we obtainthe prime factors at the end of the branches. Click here to get an answer to your question a) Write 600 as the product of prime factors.Give your answer in index form. The factors of 420 are1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 ,21, 28, 30 , 35, 42, 60, 70, 84, 105, 140, 210 and 420. Step-by-step explanation: Advertisement Advertisement apoloniarenoso apoloniarenoso Answer:2x2x2x3x5x5. Kim 3 21 oz We determine the prime factors using the division method or the factor-tree method. As it has completely divided 600 without any remainder, so 1 is a factor of 600. If the same prime factor is repeated, write it as a power of that factor. 600 1 = 600, r = 0. [2 marks] Expressing numbers in prime factor form Every whole number (with only one exception - the number 1) can be expressed as a product of prime numbers. What could be the distance traveled by him in an hour? Prime factorization is the decomposition of a composite number into a product of prime numbers. last edited {{helpRequestObj.timeTextDisplay}}. Now, divide 600 by the smallest even prime number i.e., 2. A) Write 600 as the product of prime factors. Finding the missing factor, we get14 30 = 420 miles , an working together finish the same job (assume constant rates each for men, women, and boys)? 63/3 = 21; Now, 21 is divided by its smallest prime factor and the quotient is obtained. The ratio of smoothie size to mangos used for Kim is 1:7, and the ratio of smoothie size to mangos used for Bri is 3:28. There are many factoring algorithms, some more complicated than others. ___ 28 = 420. Write 600 as the product of prime factors. 420 strawberries are arranged in 20 rows:___ apples 28 rows = 420 strawberries Learn more . A) x = 0 What is prime factorization? You can specify conditions of storing and accessing cookies in your browser. But let me explain the above to prove it's correct. It is the smallest number that is divisible by numbers 1 to 7. 2002-2023 Tutor2u Limited. Eventually, you end up with the number 1. 68510, Simplify nine square root of two minus three square root of seven plus square root of eight minus square root of twenty eight The distinct factor-pairs of 420 are (1, 420), (2, 210), (3, 140), (4, 105), (5, 84), (6,70), (7,60), (10,42), (12,35), (14,30),(14,30), (15,28) and (20,21) Which statement is correct based on the data? The following steps would be useful to write a number as a product of its prime factors. Solution : Step 1 of 3 : Write down the given number The given number = 600 Step 2 of 3 : Prime factorise the given number We prime factorise the given number as below 600 = 2 2 2 3 5 5 Step 3 of 3 : Express the number in index form how do you write 600 as a product of its prime factors (index! You then repeat the same process by taking the result and dividing that number by the smallest prime number. Step 1. Teachers love Qalaxia as it not only helps their students finish homework and satisfy their curiosity but also gives teachers full transparency into how much student effort and expert help went into every homework question. if the length of it's base is 9.5in. Round In this case, the prime factors of 600 are: 2 2 2 3 5 5 We can now easily show 600 as a product of the prime factors: 2 x 2 x 2 x 3 x 5 x 5 = 600 Fun fact! 420 oranges are arranged in 35 rows :___ oranges 35 rows = 420 oranges Please sign-up here for updates. Angela 4 28 oz Share your knowledge or write an opinion piece. Bri 1 7 oz You can specify conditions of storing and accessing cookies in your browser, Here is the answer along with the workings. Step-by-step explanation: I just worked them . The eruption cycle of Mighty Joe is what percent longer than that of Big Bill? :), the perimeter of an isosceles triangle is 32.7 in. Advertisement Advertisement bokhaira bokhaira Answer: 600= 3x5^2x2^3. A video revising the techniques and strategies for writing a number as a product of its prime factors in index form.This video is part of the Number module i. This site is using cookies under cookie policy . A set of questions to assess student understanding. This is problems on common factors. Solution: Step 1: Prime factorisation : = 2 3 X5 1 X3 1 His boss, Ms. Tong just gave him a raise. Get 5 free video unlocks on our app with code GOMOBILE. 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. (a) 600 = 2 2 2 3 5 5 = 2 3 5 (b) The highest common factors could be calculated using factors methods and the divisional methods. I just worked them out so srry for late response, This site is using cookies under cookie policy . D) Infinite solutions. A set of questions with explanations that students can revisit multiple times for review. 420 is the sum of the first 20 even numbers. Prime factorization means to express a composite number as the product of its prime factors. 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. will give brainliest to whoever answers step by step, 2.5(5x + 2) = 12.5x + 5 Round your answer to the nearest hundredth of a percent. A=4 C=-2, Kim and her friends watched the server making smoothies. In how many days can 1 man, 1 boy and 1 wom Question 1) Write 36 as a product of its prime factors. Finding the missing factor-pair, 21 20 = 420 Hcf= 150. The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim. VAT reg no 816865400. A) x = 0 Example 3: Express 66 as a product of its prime factors. Give your answer in index form. Qalaxia encourages students to gain knowledge not just from teachers, but also from remote industry expert volunteers. help On Qalaxia: Qalaxia will be ready for use in April 2017. Factors of 420 are1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 ,21, 28, 30 , 35, 42, 60, 70, 84, 105, 140, 210 and 420. will give brainliest to whoever answers step by step, A geyser (Big Bill they call it) in Thermal Park erupts a column of water 22 feet high every 14 minutes. Now, we find the prime factors of 300: You can specify conditions of storing and accessing cookies in your browser. We have 12 such factor-pairs of 420 as observed in the pattern below. B) x = 1.5 His salary has increased by what percent? im rly confused Example 1: Express 120 as a product of its prime factors. Example 1: George is a grocer and he has arranged them in rows in his stall. Step-by-step explanation: Advertisement Advertisement New questions in . 420 apples are arranged in 28 rows is written as : ___ apples 28 rows = 420 apples So what we are left with is the answer to your search, the prime factors of 600: If we count up all of the prime factors of 600 used in the prime factor tree above, we can see that 600 has a total of 6 prime factors. Trial division: One method for finding the prime factors of a composite number is trial division. will give brainliest to whoever answers step by step, 13 men and 7 boys can finish a job in 7 days, while 6 boys and 13 women can finish the same job in 6 days. The factors of 420 are1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 ,21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420. Answer: 3 5 5 2 2 2 Step-by-step explanation: Make a factor tree.