Divisibility Rule of 6: Rule, Examples

Divisibility Rule of 6

A number is divisible by 6 if it follows two rules at the same time:
1. The number is divisible by 2 (it ends in 0, 2, 4, 6, or 8).
2. The number is divisible by 3 (the sum of its digits is a multiple of 3).

If both rules are true, then the number is divisible by 6.

Steps to Check Divisibility by 6

1. Check if the number is even (it should end in 0, 2, 4, 6, or 8).

2. Add up all the digits and see if the sum is a multiple of 3.

3. If both conditions are true, then the number is divisible by 6!

Examples

Example 1: Is 432 divisible by 6?

1. Check if it’s even: 432 ends in 2 (It’s even).

2. Check sum of digits: 4 + 3 + 2 = 9 (9 is a multiple of 3).

432 is divisible by 6.

Example 2: Is 525 divisible by 6?

1. Check if it’s even: 525 ends in 5 (It’s not even).

2. Check sum of digits: 5 + 2 + 5 = 12 (12 is a multiple of 3).

525 is not divisible by 6.

Know the divisibility rule of 7 here.

Try It Yourself:

Are they divisible by 6?
1. 738
2. 1254
3. 3461

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FAQs

 

1. What is the divisibility rule of 6 with an example?

A number is divisible by 6 if it is divisible by both 2 and 3.
Example: 24 is divisible by 6 because it's divisible by 2 (even number) and divisible by 3 (2 + 4 = 6, which is divisible by 3).

2. Is 438750 divisible by 6?

Yes, because 438750 is divisible by 2 (it's even) and 438750 is divisible by 3 (4 + 3 + 8 + 7 + 5 + 0 = 27, which is divisible by 3).

3. How to find if a number is divisible by 6?

To check if a number is divisible by 6, make sure it is divisible by both 2 (an even number) and 3 (the sum of its digits is divisible by 3).