Divisibility Rule of 3: Rule, Examples

Divisibility Rule of 3

A number is divisible by 3 if the sum of its digits is a multiple of 3 (like 3, 6, 9, 12, 15, etc.).

If the sum is divisible by 3, then the whole number is also divisible by 3.

Steps to Check Divisibility by 3

1. Write down the number.

2. Add up all the digits.

3. Check if the sum is a multiple of 3.

4. If yes, the number is divisible by 3.

Examples

Example 1: Is 273 divisible by 3?

1. Number: 273

2. Add the digits: 2 + 7 + 3 = 12

3. 12 is a multiple of 3 (12 ÷ 3 = 4)

273 is divisible by 3.

Example 2: Is 458 divisible by 3?

1. Number: 458

2. Add the digits: 4 + 5 + 8 = 17

3. 17 is not a multiple of 3.

458 is not divisible by 3.

Try It Yourself:

Are they divisible by 3?
1. 792
2. 145
3. 906