Divisibility Rules

We say that a number is divisible if it can be divided evenly with no reminder.

A number is divisible by:
2
If the last digit is even - 0, 2, 4, 6 or 8.
Example
3
If the sum of the digits is divisible by 3.
Example
4
If the last two digits form a number that is divisible by 4.
Example
5
If the last digit is 5 or 0.
Example
6
If the number is divisible by both 2 and 3.
Example
7
If you can double the last digit and subtract the sum from the rest of the number, and get an answer that is divisible by 7(including 0).
Example
8
If the last three digits form a number that is divisible by 8.
Example
9
If the sum of all digits is divisible by 9.
Example
10
If the number ends in 0.
Example

Problems & Tests:

Problems involving divisibility rules for 2, 3, 4, 5, 6, 9
Divisibility Rules Quiz - 1
Divisibility Rules Quiz - 2
Quiz: LCM and Divisibility Rules

Articles:

Divisibility
Divisibility by 2
Divisibility by 4
Divisibility by 3 and 9
Divisibility by 5
Divisibility by 25


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