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Robyn1234 Robyn1234 01/21/2020 Mathematics Middle School answered Express 240 as a product of prime factors. 3. 1 is the smallest factor of every number. See also in this web page a Prime Factorization Chart with all primes from 1 to 1000. The numbers inside the circles are the prime factors of 500. Answer: Divide the number given with the smallest prime numbers and continue the process until you end up with 1. The smallest Prime Number which can divide 90 without a remainder is 2. Explore factors using illustrations and interactive examples. Finding prime factors Prime factors are factors of a number that are, themselves, prime numbers. Factors of 210 | How to Find the Prime Factors of 210 by the Prime 2, 2, 2, 3 and 3 are all prime numbers, so we have our answer. In short, we would write the solution as: What are the Factors of 210? Ques 23 : Find the product of factors of 63. There are multiple pairs that will do this e.g. Prime Factors of 9240 - OnlineCalculator.Guru Enter your number below and click calculate. Ques 38 : Find the product of factors of 520. Solution : Prime Factorization of 16 is 16 = 24. So the first calculation step would look like: 240 2 = 120 Now we repeat this action until the result equals 1: 120 2 = 60 60 2 = 30 30 2 = 15 15 3 = 5 5 5 = 1 That's why we call them the building blocks of numbers! This product of factors of N includes 1 and the number N itself. The prime factorization of 500 shown below: Prime factorization of 500=2 2 5 5 5=22 53. A complete guide to the factors of 1240. To create a factor tree we have to break down the composite number into factors of the composite number till the numbers are prime. Thus, the Prime Factors of 9240 are: 2, 2, 2, 3, 5, 7, 11. You learnt the concepts as How to Find Number of Factor of Any Number, How to Find Number of Even Factors, How to Find Number of Odd Factors, How to Find Number of Sum of Factors of Any Number. 2 70, 4 35, 5 28 etc, but it doesn't matter which one we choose. Express 9240 as the product of its prime factors using the long division method - 57272022. hezz7085933269 hezz7085933269 6 hours ago History Secondary School . The factors of 500are1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500. 588 = 2 x 2 x 3 x 7 x 7 Ques 34 : Find the product of factors of 210. Her store is known for its delicious cakes. Thus, the Prime Factors of 9240 are 3, 11, 7, 5, 2. )396, Solution : Number of Factors of 311 is (11 + 1) = 12, Thus, the product of all factors of 311 is (311)(Number of Factors of 3^11)/2 = (311)12/2 = (311)6 = 366. Also, we know that the factors of 420 are the exact divisors of that number. 108/1 = 108 (Factor = 1 and Remainder = 0) 108/2 = 54 (Factor = 2 and Remainder = 0) 108/3 = 36 (Factor = 3 and Remainder = 0) Prime Factor Trees - Maths with Mum Every number can be represented as a product of prime numbers. Repeat this process until you end up with 1. Prime Factorization of 9240 it is expressing 9240 as the product of prime factors. First, you need to find all of its factors. 3 3 5 We can now easily show 90 as a product of the prime factors: 2 x 3 x 3 x 5 = 90 Fun fact! We will also solve problems related to the factors of 500. Total number of cakes to be bake = 4 Hence, the factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105 and 210. I started this website to share my knowledge of Mathematics. 2 x 2 x 2 x 3 x 5 x 7 x 11. Since 500 is an even, it willbe divisible by 2 and its multiples. Note that these dividers are the prime factors. 5 5 = 1. To get a list of all Prime Factors of 9240, we have to iteratively divide 9240 by the smallest prime number possible until the result equals 1. Volume to (Weight) Mass Converter for Recipes, Weight (Mass) to Volume to Converter for Recipes. To create a factor tree we have to break down the composite number into factors of the composite number till the numbers are prime. Here you can find the answer to questions related to: Factor tree for 9240 or how to draw the factor tree for 9240. Prime factors of 9240 - Math Tools VisualFractions.com. All Rights Reserved. 72 = 2 x 36 Give two reason to show why Highlight your latest work via email or social media with custom GIFs. 15 3 = 5. An example of data being processed may be a unique identifier stored in a cookie. Menu Skip to content. You know that the number of factors of a perfect square number is odd and other numbers have even number of factors. The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225. Home Numbers Prime Factors 9240 Prime Factors Prime factors of 9240 Prime factors of 9240 : 2x2x2, 3, 5, 7, 11 In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. How to Write a Number as a Product of Its Prime Factors In this case, the prime factors of 270 are: 2. Ques 10 : Find the product of factors of 34. 1240 as a Product of Prime Factors - Visual Fractions Math Teaching Product of Prime Factors Shaped Staff June 21, 2021 10 Min Read Number theory, or the study of integers (the counting numbers 1, 2, 3., their opposites -1, -2, -3., and 0), has fascinated mathematicians for years. 270 as a Product of Prime Factors - Visual Fractions ASK FOR ANY OTHER HELP.. CAN U PLZ SOLVE MY ONE QUESTION, This site is using cookies under cookie policy . Click here for Answers. Answer: Prime Factors of 9240 are 3, 11, 7, 5, 2, and usually expressed as 2 x 2 x 2 x 3 x 5 x 7 x 11. The process of finding Prime Factors is called Prime Factorization of 9240. Ready to see the world through maths eyes? a 30 b 24 c 100 d 225 e 360 f 504 g 650 h 1125 i 756 j 9240. as the. The number 420 is a composite number and hence it has more than two factors, that means it has factors other than 1 and 420. Then, Number of Factors of 81 is (4 + 1) = 5, Thus, the product of all factors of 81 is 81(Number of Factors of 81)/2 = 815/2 = (92)5/2 = 95, Solution : Prime Factorization of 84 is 84 = 22 31 71, Then, Number of Factors of 84 is (2 + 1) (1 + 1) (1 + 1) = 12, Thus, the product of all factors of 84 is 84(Number of Factors of 84)/2 = 8412/2 = 846, Solution : Prime Factorization of 100 is 100 = 22 52, Then, Number of Factors of 100 is (2 + 1) (2 + 1) = 9, Thus, the product of all factors of 100 is 100(Number of Factors of 100)/2 = 1009/2 = (102)9/2 = 109, Solution : Prime Factorization of 105 is 105 = 31 51 71, Then, Number of Factors of 105 is (1 + 1) (1 + 1) (1 + 1) = 8, Thus, the product of all factors of 105 is 105(Number of Factors of 105)/2 = 1058/2 = 1054, Solution : Prime Factorization of 120 is 120 = 23 31 51, Then, Number of Factors of 120 is (3 + 1) (1 + 1) (1 + 1) = 16, Thus, the product of all factors of 120 is 120(Number of Factors of 120)/2 = 12016/2 = 1208, Solution : Prime Factorization of 210 is 210 = 21 31 51 71, Then, Number of Factors of 210 is (1 + 1) (1 + 1) (1 + 1) (1 + 1) = 16, Thus, the product of all factors of 210 is 210(Number of Factors of 210)/2 = 21016/2 = 2108, Solution : Prime Factorization of 232 is 232 = 23 291, Then, Number of Factors of 232 is (3 + 1) (1 + 1) = 8, Thus, the product of all factors of 232 is 232(Number of Factors of 232)/2 = 2328/2 = 2324, Solution : Prime Factorization of 240 is 240 = 24 31 51, Then, Number of Factors of 240 is (4 + 1) (1 + 1) (1 + 1) = 20, Thus, the product of all factors of 240 is 240(Number of Factors of 240)/2 = 24020/2 = 24010, Solution : Prime Factorization of 360 is 360 = 23 32 51, Then, Number of Factors of 360 is (3 + 1) (2 + 1) (1 + 1) = 24, Thus, the product of all factors of 360 is 360(Number of Factors of 360)/2 = 36024/2 = 36012, Solution : Prime Factorization of 520 is 520 = 23 51 131, Then, Number of Factors of 520 is (3 + 1) (1 + 1) (1 + 1) = 16, Thus, the product of all factors of 520 is 520(Number of Factors of 520)/2 = 52016/2 = 5208, Solution : Prime Factorization of 1024is 1024= 210, Then, Number of Factors of 1024 is (10 + 1) = 11, Thus, the product of all factors of 1024 is 1024(Number of Factors of 1024)/2 = 102411/2 = (210)11/2 = (29)11 = 299, Solution : Prime Factorization of 1080 is 1080 = 23 33 51, Then, Number of Factors of 1080 is (3 + 1) (3 + 1) (1 + 1) = 32, Thus, the product of all factors of 1080 is 1080(Number of Factors of 1080)/2 = 108032/2 = 108016, Solution : Prime Factorization of 1200 is 1200 = 24 31 52, Then, Number of Factors of 1200 is (4 + 1) (1 + 1) (2 + 1) = 30, Thus, the product of all factors of 1200 is 1200(Number of Factors of 1200)/2 = 120030/2 = 120015, Solution : Prime Factorization of 1950 is 1950 = 21 31 52 131, Then, Number of Factors of 1950 is (1 + 1) (1 + 1) (2 + 1) (1 + 1) = 24, Thus, the product of all factors of 1950 is 1950(Number of Factors of 1950)/2 = 195024/2 = 195012, Solution : Prime Factorization of 2120 is 2120 = 23 51 531, Then, Number of Factors of 2120 is (3 + 1) (1 + 1) (1 + 1) = 16, Thus, the product of all factors of 2120 is 2120(Number of Factors of 2120)/2 = 212016/2 = 21208, Solution : Prime Factorization of 2322 is 2322 = 21 33 431, Then, Number of Factors of 2322 is (1 + 1) (3 + 1) (1 + 1) = 16, Thus, the product of all factors of 2322 is 2322(Number of Factors of 2322)/2 = 232216/2 = 23228, Solution : Prime Factorization of 3600 is 3600 = 24 32 52, Then, Number of Factors of 3600 is (4 + 1) (2 + 1) (2 + 1) = 45, Thus, the product of all factors of 3600 is 3600(Number of Factors of 3600)/2 = 360045/2 = (602)45/2 = 6045, Solution : Prime Factorization of 183 is 183 = 23 36, Then, Number of Factors of 183 is (3 + 1) (6 + 1) = 28, Thus, the product of all factors of 183 is (183)(Number of Factors of 18^3)/2 = 18328/2 = 1842, Solution : Prime Factorization of 7056 is 7056= 24 32 72, Then, Number of Factors of 7056 is (4 + 1) (2 + 1) (2 + 1) = 45, Thus, the product of all factors of 7056 is 7056(Number of Factors of 7056)/2 = 705645/2 = (842)45/2 = 8445, Solution : Since 12! Answer: The method of prime factorization is used to break down or express a given number as a product of prime numbers. Factors by definition are the numbers that multiply to create another number. 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). The pair factors of 500can be given as below: Thepositive pair factors of 500 are (1, 500),(2, 250),(4, 125),(5, 100),(10, 50),(20, 25). Then, Number of Factors of 32 is (5 + 1) = 6, Thus, the product of all factors of 32 is 32(Number of Factors of 32)/2 = 326/2 = 323 = 32678, Solution : Prime Factorization of 34 is 34 = 21 171, Then, Number of Factors of 34 is (1 + 1) (1 + 1) = 4, Thus, the product of all factors of 34 is 34(Number of Factors of 34)/2 = 344/2 = 342 = 1156. In this tutorial we are looking specifically at the prime factors that can be multiplied together to give you the product, which is 1240. You can specify conditions of storing and accessing cookies in your browser, Express 9240 as the product of its prime factors using the long division method, Give two reason to show why So the first calculation step would look like: Now we repeat this action until the result equals 1: Now we have all the Prime Factors for number 9240. Hence, the two factors of 500that Jack's friend mentionedare probably 1 and 500. Solution : Prime Factorization of 25 is 25 = 52. Prime Factors Calculator breaks down the composite number 9240 into factors of the composite number until all the numbers are prime. Ques 24 : Find the product of factors of 68. 3. 40 as a Product of Prime Factors - Visual Fractions Create on-brand social posts and Articles in minutes. Ques 28 : Find the product of factors of 75. Cost of 1 cake = $125 3. Trial division consists of very easy and basic algorithms, though it is an extremely slow process. All the numbers you used to divide above are the Prime Factors of 9240. It's like a masterclass to be explored at your own pace. Solution: Prime Factorization of 35 is 35 = 5 1 . Then, Number of Factors of 18 is (1 + 1) (2 + 1) = 6, Thus, the product of all factors of 18 is 18(Number of Factors of 18)/2 = 186/2 = 183 = 5832. There might be various methods to show the factor tree for any provided prime factorisation. Ques 29 : Find the product of factors of 81. 72 = 2 x 2 x 2 x 9 The prime factorization of 9240 = 2 3 35711. Ques 15 : Find the product of factors of 42. Here, we will discuss how to find the factors of 108 using the division method. To get a list of all Prime Factors of 9240, we have to iteratively divide 9240 by the smallest prime number possible until the result equals 1. Hence, the prime factors of 500are2and 5. 1998-2023 VisualFractions.com. Every number will definitely have a minimum of two factors, 1 and itself. Lesson Explainer: Prime Factorization with Exponents | Nagwa Then, Number of Factors of 6 is (1 + 1) (1 + 1) = 4, Thus, the product of all factors of 6 is 6(Number of Factors of 6)/2 = 64/2 = 62 = 36. So when we talk aqbout prime factorization of 1240, we're talking about the building blocks of the number. Step 2: Find the two numbers whose product gives 500. Ques 18 : Find the product of factors of 50. Let's take a look at the negative pair factors of 500. HCF Using Euclid's division lemma Calculator. [7] marks, of what attracted European trading companie to India?. Previous Quadratic nth Term Practice Questions. What are the Factors of 420? Let's find the prime factorization of 72. Let start with an example how to find the product of factors or divisors of a composite number. Welcome; Videos and Worksheets; Primary; 5-a-day. is (10 + 1) (5 + 1) (2 + 1) (1 + 1) (1 + 1) = 792, Thus, the product of all factors of 12! A customer purchased fivepackets of noodlesfrom him. Generate QR Codes for your digital content. Ques 19 : Find the product of factors of 54. A factor is a number that divides exactly into another number A prime number is a number that has only 2 factors: 1 and itself. Further Maths; Practice Papers . Accessed 17 July, 2023. Trial division: One method for finding the prime factors of a composite number is trial division. 500 is not a perfect square number. To simplify this product, you need to proceed as below. The customer purchased 5packets of noodlesfrom the grocery shop. Ques 11: Find the product of factors of 35. Prime Factors of 9240 are 2, 11, 5, 3, 7. A prime factor is a positive integer that can only be divided by 1 and itself. There is one one set of unique prime factors that can be multiplied to equal 90. It is: 2, 2, 2, 3, 5, 7, 11, Or you may also write it in exponential form: 23 3 5 7 11. Factors of 420 | Prime factors of 420 with a Detailed Explanation - BYJU'S Thank you!!! Start with the smallest prime number that divides into 72, in this case 2. Practice Questions. In order to get the Prime factors of 9240, divide the number 9240 with the smallest prime numbers. The first step is to find two numbers that multiply together to make 140. Positive pair Factors of 240: Therefore, the positive pair factors of 240 are (1, 240), (2, 120), (3, 80), (4, 60) , (5, 48), (6, 40), (8, 30), (10, 24), (12, 20) and (15, 16). Solution : Prime Factorization of 81 is 81 = 34. First, you need to find all of its factors. Ques 9 : Find the product of factors of 32. We can do use the upsidedivision method or factor tree to do this. Factors of 500 have a total of 12 factors in all and a total of 6 positive and negative factor pairs as well. The prime factors of 1240 are all of the prime numbers in it that when multipled together will equal 1240. The negative pair factors of 500 are (-1, -500),(-2, -250),(-4, -125),(-5, -100),(-10, -50),(-20, -25). Factors of 500 - Find Prime Factorization/Factors of 500 What is prime factorization? As 210 is an even composite number, it has many factors other than 1 and 210. 1 5 7 25 35 49 175 245 1225, = (1 1225) (5 245) (7 175) (25 49) 35. In this case, the prime factors of 1240 are: 2. Retrieved from http://visualfractions.com/calculator/prime-factors/1240-as-a-product-of-prime-factors/. We continue making branches till we are left with only prime numbers. 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. Explore more about Factor Tree of 9240 by accessing this link and make your calculations quick & fast by using our handy Factor Tree Calculator. Now we have all the Prime Factors for number 90. the Indian constitution is a lengthy constitution, a story about 12th class student who want some one who is friendship with him and he share all to her so pls can anyone become friend of me, Why did the British build railways in India during the nineteenth century? "1240 as a Product of Prime Factors". Just make sure to pick small numbers! Factors of 108 | Prime Factorisation of 108 | Examples - BYJU'S Prime factors of 9240 - Calculatio Since neither 2 nor 3 are equal to 18, they are not correct. Let's learn how to calculate the factors of 500. The prime factorization is , Solved Examples: Find Product of Factors of Number, Thus, the product of all factors of 6 is 6, Thus, the product of all factors of 8 is 8, Thus, the product of all factors of 10 is 10, Thus, the product of all factors of 15 is 15, Thus, the product of all factors of 16 is 16, Thus, the product of all factors of 18 is 18, Thus, the product of all factors of 25 is 25, Thus, the product of all factors of 30 is 30, Thus, the product of all factors of 32 is 32, Thus, the product of all factors of 34 is 34, Thus, the product of all factors of 35 is 35, Thus, the product of all factors of 36 is 36, Thus, the product of all factors of 39 is 39, Thus, the product of all factors of 40 is 40, Thus, the product of all factors of 42 is 42, Thus, the product of all factors of 44 is 44, Thus, the product of all factors of 48 is 48, Thus, the product of all factors of 50 is 50, Thus, the product of all factors of 54 is 54, Thus, the product of all factors of 56 is 56, Thus, the product of all factors of 60 is 60, Thus, the product of all factors of 62 is 62, Thus, the product of all factors of 63 is 63, Thus, the product of all factors of 68 is 68, Thus, the product of all factors of 69 is 69, Thus, the product of all factors of 70 is 70, Thus, the product of all factors of 72 is 72, Thus, the product of all factors of 75 is 75, Thus, the product of all factors of 81 is 81, Thus, the product of all factors of 84 is 84, Thus, the product of all factors of 100 is 100, Thus, the product of all factors of 105 is 105, Thus, the product of all factors of 120 is 120, Thus, the product of all factors of 210 is 210, Thus, the product of all factors of 232 is 232, Thus, the product of all factors of 240 is 240, Thus, the product of all factors of 360 is 360, Thus, the product of all factors of 520 is 520, Thus, the product of all factors of 1024 is 1024, Thus, the product of all factors of 1080 is 1080, Thus, the product of all factors of 1200 is 1200, Thus, the product of all factors of 1950 is 1950, Thus, the product of all factors of 2120 is 2120, Thus, the product of all factors of 2322 is 2322, Thus, the product of all factors of 3600 is 3600, Thus, the product of all factors of 7056 is 7056.