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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 Factorisation - Part 2

12 = 2 × 2 × 3

 

 

16

Prime Factorisation - Part 3

16 = 2 × 2 × 2 × 2

 

324

Prime Factorisation - Part 4

324 = 2 × 2 × 3 × 3 × 3 × 3

 

3360

Prime Factorisation - Part 5

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

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.