Divisibility Tests - Divisibility by 3, 6, 9

Chapter 3 Class 6 Playing with Numbers
Concept wise

A number is divisible by 6 if

• It is divisible by 2
• It is divisible by 3

Example :

## Is 36 is divisible by 6?

Since 36 is divisible by both 2 & 3

It is divisible by 6

## Is 18 is divisible by 6?

Since 18 is divisible by both 2 and 3

∴ it is divisible by 6

## Is 27 is divisible by 6?

Since it is not divisible by 2,

∴ 27 is not divisible by 6

## Is 216 is divisible by 6?

Since 216 is divisible by both 2 and 3

∴ It is divisible by 6.

### Transcript

To check divisibility by 6 we check that Number is divisible by 2 Number is divisible by 3 Divisibility by 2 Since 36 ends with 6 It is divisible by 2 Divisibility by 3 Sum of digits = 3 + 6 = 9 Since 9 is divisible by 3 ∴ 36 is divisible by 3 To check divisibility by 6 we check that Number is divisible by 2 Number is divisible by 3 Divisibility by 2 Since 18 ends with 8 It is divisible by 2 Divisibility by 3 Sum of digits = 1 + 8 = 9 Since 9 is divisible by 3 ∴ 18 is divisible by 3 To check divisibility by 6 we check that Number is divisible by 2 Number is divisible by 3 Divisibility by 2 Since 27 ends with 7 It is not divisible by 2 Divisibility by 3 Sum of digits = 2 + 7 = 9 Since 9 is divisible by 3 So, 27 is divisible by 3 To check divisibility by 6 we check that Number is divisible by 2 Number is divisible by 3 Divisibility by 2 Since 216 ends with 6 It is divisible by 2 Divisibility by 3 Sum of digits = 2 + 1 + 6 = 9 Since 9 is divisible by 3 So 216 is divisible by 3

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.