Formula of solving prime factorization
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The simplest algorithm to find the prime factors of a number is to keep on dividing the original number by prime factors until we get the remainder equal to 1. For example, prime factorising the number 30 we get, 30/2 = 15, 15/3 = 5, 5/5 = 1. Since we received the remainder, it cannot be further factorised. Therefore, 30 = 2 x 3 x 5, where 2,3 and 5 are prime factors.
The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19 and so on. These prime numbers when multiplied with any natural numbers produce composite numbers. In this article, let us discuss the definition of prime factorization, different methods to find the prime factors of a number with solved examples.
Example:Below is a detailed step-by-step process of prime factorization by taking 460 as an example.Step 1: Divide 460 by the least prime number i.e. 2.
Example:Below is a detailed step-by-step process of prime factorization by taking 460 as an example.Step 1: Divide 460 by the least prime number i.e. 2. So, 460 ÷ 2 = 230
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start by dividing by 2
for example: 2 ÷ 250 the answer u get is 125
since 5 is the multiplicand of 125
so you then divide 5 with 125 u get 25
since 5 is the multiplicand of 25
we again divide 5 with 25 then we get 5 so then we divide 5 with 5 we get 1
thus 2×5×5×5 = 250
hope it was help full for you
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