DIVISIBILITY TESTS

 

Divisibility tests

Test for divisibility by 2

Numbers ending in 0, 2, 4, 6, or 8 are divisible by 2.

Test for divisibility by 4.

If the number formed by the last 2 digits of a given number is divisible by4, the given number is divisible by 4.

Test for divisibility by 8

If the number formed by the last 3 digits of a given number is divisible by8, the given number is divisible by 8.

Test for divisibility by 3

If the sum of the digits of the given number is divisible by 3, then the given number is divisible by 3.

Test for divisibility by 9

If the sum of the digits of the given number is divisible by 9, then the given number is divisible by 9.

Test for divisibility by 5

Numbers ending in 0 or 5 are divisible by 5.

Test for divisibility by 10

Numbers ending in 0 are divisible by 10.

Test for divisibility by 11 

If the difference of the sum of the digits in alternative places is divisible by11,. the given number is divisible by 11.

Test for divisibility by 6

If an even number is divisible by 3, it is divisible by 6.

Test for divisibility by 12

A number which is divisible by 4 and 3, is divisible by 12.

Test for divisibility by 25

If the number formed by the last 2 digits is divisible by 25, then the number is divisible by 25


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