A number with 4 or more digits is divisible by 8, if the number formed by the last three digits is divisible by 8.

If a number is divisible both by 2 and 3, then it is divisible by 12.

A number with three or more digits is divisible by 6, if the number formed by its last two digits (i.e., ones and tens) is divisible by 6.

If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 9.

All numbers which are divisible by 4 may not be divisible by 8.