# What is 9 6 3 7

## Divisible by 3, 6 and 9

bettermarks »Math book» Numbers »Divisibility and prime numbers» Divisibility rules »Divisibility by 3, 6 and 9

In these explanations you will learn how to check whether a number is divisible by 3, 6, or 9.

### Divisibility rules for 3 and 6

The divisibility of a natural number by 3 is checked with its checksum. You calculate the cross sum by adding all the digits of the number. If the cross sum of a number is divisible by 3, then the number is divisible by 3, otherwise not. A number is divisible by 6 if it is divisible by 2 and by 3 (2 ∙ 3 = 6), otherwise not. If the cross sum of a number is divisible by 3 and the number is even, then the number is divisible by 6.

Rule of divisibility for 3: A number is divisible by 3 if its checksum, i.e. the sum of its digits, is divisible by 3.

Divisibility rule for 6: A number is divisible by 6 if it is divisible by 2 and 3.

12561 is divisible by 3.

1256 is not divisible by 3.

3474 is divisible by 6.

3475 is not divisible by 6.

3478 is not divisible by 6.

### Divisibility rule for 9

The divisibility of a natural number by 9 is checked with its cross sum. If the cross sum of a number is divisible by 9, then the number is divisible by 9, otherwise not.

Divisibility rule for 9: A number is divisible by 9 if its checksum, i.e. the sum of its digits, is divisible by 9, otherwise not.

12564 is divisible by 9.

12562 is not divisible by 9.

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