Divisibility rules

These rules let you test if one number is divisible by another, without having to do too much calculation!
A number is divisible by,
2 If the last digit is even, the number is divisible by 2.
3 If the sum of the digits is divisible by 3, the number is also.
4 If the last two digits form a number divisible by 4, the number is also.
5 If the last digit is a 5 or a 0, the number is divisible by 5.
6 If the number is divisible by both 3 and 2, it is also divisible by 6.
7 Take the last digit, double it, and subtract it from the rest of the number; if the answer is divisible by 7 (including 0), then the number is also.
8 If the last three digits form a number divisible by 8,
then so is the whole number.
9 If the sum of the digits is divisible by 9, the number is also.
10 If the number ends in 0, it is divisible by 10.
11 Alternately add and subtract the digits from left to right. (You can think of the first digit as being 'added' to zero.) If the result (including 0) is divisible by 11, the number is also. Example: to see whether 365167484 is divisible by 11, start by subtracting: [0+]3-6+5-1+6-7+4-8+4 = 0; therefore 365167484 is divisible by 11.
12 If the number is divisible by both 3 and 4, it is also divisible by 12.
13 Delete the last digit from the number, then subtract 9 times the deleted digit from the remaining number. If what is left is divisible by 13,
then so is the original number.

Another Rule For 11,
Subtract the first digit from a number made by the other digits.
If that number is divisible by 11 then the original number is, too.
Can repeat this if needed,

Example: 286,
28 − 6 is 22, which is divisible by 11, so 286 is divisible by 11
Example: 14641
1464 − 1 is 1463
146 − 3 is 143
14 − 3 is 11, which is divisible by 11, so 14641 is divisible by 11