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Division Rules
The following division rules will help in identifying numbers which are divisible by the
following:
2:
If a number is even, it is divisible by 2.
Example:
3:
26 is even, therefore it is divisible by 2
If the sum of a number’s digits is divisible by 3, then the number is divisible by 3.
Example:
123, 1 + 2 + 3 = 6, 6 is divisible by 3 so 123 is divisible by 3
If the number is too big, you can continue adding the digits until
you get a smaller number.
Example:
4:
If the last two digits of a number are divisible by 4, then the number is divisible
by 4.
Example:
5:
4,175,976, 4 + 1 + 7 + 5 + 9 + 7 + 6 = 39. If you do not know if 39
is divisible by 3, then add the digits again; 3 + 9 = 12. 12 is
divisible by 3, so 39 is also divisible by 3, which means that
4,175,976 is divisible by 3.
1,216, 16 is divisible by 4 so 1,216 is divisible by 4
If a number ends in either 0 or 5, then the number is divisible by 5
Example:
1,535, ends in 5 so 1,535 is divisible by 5
6:
If a number is both even and divisible by 3, then the number is divisible by 6.
Example:
8:
If the last three digits of a number are divisible by 8, then the number is divisible
by 8.
Example:
9:
1242, is even and 1 + 2 + 4 + 2 = 9 which is divisible by 3 so 1,242
is divisible by 6.
12,848, 848 is divisible by 8 so 12,848 is divisible by 8
If the sum of a number’s digits is divisible by 9, then the number is divisible by 9.
Example:
756, 7 + 5 + 6 = 18, 18 is divisible by 9 so 756 is divisible by 9
If the number is too big, you can continue adding the digits until
you get a smaller number.
Example:
10:
4,175,676, 4 + 1 + 7 + 5 + 6 + 7 + 6 = 36. If you do not know if 36
is divisible by 9, then add the digits again; 3 + 6 = 9. 9 is divisible
by 9, so 36 is also divisible by 9, which means that 4,175,676 is
divisible by 3.
If a number ends in 0, then it is divisible by 10.
Example:
1,230 ends in 0, so 1,230 is divisible by 10