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.

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### 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