Prime factorization is a method to write number as multiplication of prime numbers

 

Let’s take an example

24

Prime Factorization 24.jpg

24 = 2 × 2 × 2 × 3

 

Steps

The steps are

  1. Divide the number by 2. 
    If it is divisible, continue dividing until we cannot further divide or until the number becomes 1
  2. If number becomes 1, stop.
  3. If the number is not 1, keep on dividing by other prime numbers 3, 5, 7, 11…
  4. Stop when number becomes 1

 

12

Prime Factorization 12.jpg

12 = 2 × 2 × 3

 

 

16

Prime Factorization 16.jpg

16 = 2 × 2 × 2 × 2

 

324

Prime Factorization 324.jpg

324 = 2 × 2 × 3 × 3 × 3 × 3

 

3360

Prime Factorization 3360.jpg

3360 = 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7

 

Note :

In prime factorization, we only include prime numbers.

So, 1 and the number itself is not included in it

  1. Chapter 3 Class 6 Playing with Numbers
  2. Concept wise
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CA Maninder Singh
CA Maninder Singh is a Chartered Accountant for the past 8 years. He provides courses for Practical Accounts, Taxation and Efiling at teachoo.com .