Divisibility test

A divisibility test (or division test/rule) is a way of finding out if one number divides another number. Divisibility tests for 2, 3, 4, 5, 6, 9, and 10 are included below.


Divisibility test for 2

If a number has an even number in the ones place, 2 divides the number. For example, 2 divides 3,018 because 8 is an even number.


Divisibility test for 3

If 3 divides the sum of the digits of a number, 3 divides the number. For example, 3 divides 2,310 because the sum of 2, 3, 1, and 0 is 6, and 3 divides 6.


Divisibility test for 4

If 4 divides the last two digits of a number, 4 divides the number. For example, 4 divides 8,728 because 4 divides 28.


Divisibility test for 5

If a number has a 0 or a 5 in the ones place, 5 divides the number. For example, 5 divides both 385 and 400.


Divisibility test for 6

If both 2 and 3 divide a number, 6 also divides that number. For example, 6 divides 396 because both 2 and 3 divide 396


Divisibility test for 9

If 9 divides the sum of the digits of a number, 9 divides the number. For example, 9 divides 198,432 because 1 + 9 + 8 + 4 + 3 + 2 = 27, and 9 divides 27, so 9 divides 198,432.


Divisibility test for 10

If a number has 0 in the ones place, 10 divides it. for example, 10 divides 710.


Also called divisibility rule, division test.