Prime factorisation

Chapter 11 Class 7 Exponents and Powers
Concept wise

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

Let’s take an example

## 24

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 = 2 × 2 × 3

## 16

16 = 2 × 2 × 2 × 2

## 324

324 = 2 × 2 × 3 × 3 × 3 × 3

## 3360

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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.