# A number is divisible by 3 if the sum of its digits is divisible by 3?

We will apply the divisibility rule of 3 for finding the solution.

## Answer: Yes, a number is divisible by 3 if the sum of its digits is divisible by 3.

Let’s see the solution with the help of some examples.

**Explanation**:

Taking three numbers 27, 29, and 459 for illustration.

(i) 27

The sum of the digits is 2 + 7 = 9

9 is a multiple of 3

Hence, 27 is divisible by 3.

(ii) 29

The sum of the digits is 2 + 9 = 11

11 - again taking the sum of digits,1 + 1 = 2

2 is not divisible by 3. So, 11 is not divisible by 3.

Hence, 29 is not divisible by 3.

(iii) 459

The sum of the digits is 4 + 5 + 9 = 18

18 – taking the sum of digits, 1 + 8 = 9

9 is a multiple of 3.

Hence 459 is divisible by 3.

### Therefore, we can say that a number is divisible by 3 if the sum of its digits is divisible by 3.

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