Rules of Divisibility

An integer is divisible by...	If...	Example
2	its last digit is even	210 is even and so is divisible by 2
3	its digits add up to a multiple of 3	18,255: add up the digits: 1+ 8 + 2 + 5 + 5 = 21 and 21 is a multiple of 3
4	its last 2 digits are a multiple of 4	59,456: 56 ÷ 4 = 14, so 56 is a multiple of 4, which makes 59,456 divisible by 4
5	its last digit is 0 or 5	34,875 6,730
6	it's a multiple of 2 and 3	558 is even and so is a multiple of 2, and adding the digits gives: 5+5+8=18, and 18 is a multiple of 3, so 558 is divisible by 6
8	its last 3 digits are a multiple of 8	6,417: add the digits: 6+4+1+7=18, and 18 is a multiple of 9
9	its digits add up to a multiple of 9	17,336: 336 ÷ 8 = 42, so the last 3 digits are a multiple of 8, which makes 17,336, div.ble by 8
10	it ends in 0	93,674,280
12	it's a multiple of 3 and 4	4,932: 4+9+3+2=18 which is a multiple of 3, and 32 ÷ 4 = 8, so the last two digits are a multiple of 4