Divisibility Rules and Applications

2, 3, 4, 5, 6, 8, 9, 10, 12

3, 6, 9, 12, 15, 18, 21

1, 2, 3, 4, 5, 6, 7, 8, 9

2, 4, 6, 8, 10, 12, 14, 16

The sum of digits must be divisible by 3

The last two digits must be divisible by 4

The number must be even

The number must end in 0 or 5

Check if the last two digits are divisible by 4

Sum the digits and see if the result is divisible by 3

Check if the number is even

Check if the last digit is 0

19

27

15

21

27

45

36

18

The number must end in 0

The last two digits must be divisible by 4

The sum of digits must be divisible by 3

The number must be even

0 or 5

Divisible by 3

Odd

Even

It ends in 8

It ends in 5

It ends in 1

It ends in 0

The last two digits must be divisible by 4

The sum of digits must be divisible by 9

The number must end in 0

The number must be divisible by both 2 and 3

The last two digits

The sum of all digits

The last digit

The last three digits