The aim of factoring is usually to reduce something to basic building blocks, such as numbers to prime numbers, or polynomials to irreducible polynomials. Factors which will be extracted are : 9216 = 2 10 • 3 2 No factors remain inside the root !! For example, the number 15 factors into primes as 3 x 5, and the polynomial x2 - 4 factors as (x - 2)(x + 2). Because all numbers have a minimum of two factors(one and itself). (viii) 9216 By prime Factorization, 9216 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 Natural numbers bigger than 1 that are not prime numbers are called composite numbers. Factor 9216 into its prime factors           9216 = 210 • 32 To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.Factors which will be extracted are :           9216 = 210 • 32 No factors remain inside the root ! (i) Decompose the number inside the square root into prime factors. Prime factorization is when you write a number in simplest form by multiplying all of its prime factors together. No the number 9216 is not a prime number. Thew following steps will be useful to find square root of a number by prime factorization. All numbers without remainders are factors including the divider itself. Factor 9216 into its prime factors 9216 = 2 10 • 3 2 To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent. It's not dividable by 2 evenly that's why we skip it(Remembe 4,5 so you know when to stop later). The prime factors of 9216 are 2 and 3. If you are unable to turn on Javascript, please click here. !To complete the simplification we take the squre root of the factors which are to be extracted. In the end you have 1, 3 and 9 as a list of factors. Let's create an example for factorization with the number nine. Number 6 has four factors 1, 2, 3 and 6 itself. Work your way up until you arrive to 5 (9 divided by 2, rounded up). In mathematics, factorization (also factorisation in some forms of British English) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original. (ii) Inside the square root, for every two same numbers multiplied, one number can be taken out of the square root. Nine can be divided by 3, now add 3 to your factors. It is determined that the prime factors of number 9216 are: 2, 3. It is simple to factor numbers in a natural numbers set. For example 7 has two factors 1 and 7. To get the number that you are factoring just multiply whatever number in the set of whole numbers with another in the same set. (iii) Combine the like square root terms using mathematical operations. Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. For finding other factors you will start to divide the number starting from 2 and keep on going with dividers increasing until reaching the number that was divided by 2 in the beginning. In this case, 9216 can be written as 2^10 * 3^2. The number of primes is infinite. Prime numbers or primes are natural numbers greater than 1 that are only divisible by 1 and with itself. The prime factorization of 9216 = 2 10 •3 2. USING OUR SERVICES YOU AGREE TO OUR USE OF. This site is best viewed with Javascript. This deals with simplifying square roots. Answer: (i) 729 The prime factorization of 729 is \[729=3\times 3\times 3\times 3\times 3\times 3\]. In all cases, a product of simpler objects is obtained. Nine thousand, two hundred and sixteen is a. Equcation for number 9216 factorization is: 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 It is determined that the prime factors of number 9216 are: 2, 3 Prime Factorization Of 9215 How do you calculate natural number factors? 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