Rules of Divisibility

the integer is even.

the SUM of the integers DIGITS is divisible by 3

the integer is divisible by 2 twice, or if the LAST TWO digits are divisible by 4.

the integer ends in 5 or 0

the integer is divisble by BOTH 2 and 3

the integer is divisble by 2 THREE TIMES, or if the LAST THREE digits are divisible by 8

the SUM of the integers digits is divisble by 9

if the integer ends in 0