### Divisibility test for 3 – Video Explanation

**Problem 1 – Divisibility test for 3**

Check whether 1254 is divisible by 3 ?

**a) Yes**

b) No

A number is divisible by 3, if the sum of all the digits of the number is divisible by 3.

In, 1254

Sum of its digits = 1 + 2 + 5 + 4 = 12

and 12 is divisible by 3

So,1254 is also divisible by 3

**Problem 2 – Divisibility test for 3**

Check whether 35754 is divisible by 3 ?

**a) Yes**

b) No

A number is divisible by 3, if the sum of all the digits of the number is divisible by 3.

In, 35754

Sum of its digits = 3 + 5 + 7 + 5 + 4 = 24

and 24 is divisible by 3

So, 35754 is also divisible by 3

**Problem 3 – Divisibility test for 3**

Check whether 64327 is divisible by 3 ?

a) Yes

**b) No**

A number is divisible by 3, if the sum of all the digits of the number is divisible by 3.

In, 64327

Sum of its digits = 6 + 4 + 3 + 2 + 7 = 22

and 22 is not divisible by 3

So, 64327 is not divisible by 3

**Problem 4 – Divisibility test for 3**

Check whether 94635 is divisible by 3 ?

**a) Yes**

b) No

A number is divisible by 3, if the sum of all the digits of the number is divisible by 3.

In, 94635

Sum of its digits = 9 + 4 + 6 + 3 + 5 = 27

and 27 is divisible by 3

So, 94635 is also divisible by 3

**Problem 5 – Divisibility test for 3**

Check whether 739124 is divisible by 3?

a) Yes

**b) No**

A number is divisible by 3, if the sum of all the digits of the number is divisible by 3.

In, 739124

Sum of its digits = 7 + 3 + 9 + 1 + 2 + 4 = 26

and 26 is not divisible by 3

So, 739124 is not divisible by 3

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