2: number ends in 0, 2, 4, 6, or 8

3: add the digits, the sum will equal a number divisible by 3

4: the last two digits will be divisible by 4

5: number ends in 0 or 5

6: number is divisible by 2 and 3

7: double the last digit, subtract that from the rest of the number, the difference will be divisible by 7 or will equal 0

8: the last 3 digits are divisible by 8

9: add the digits, the sum will equal a number divisible by 9

10: number ends in 0

The divisibility rule for 7 is the most difficult, so here is an example:

672

double the last digit (2) = 4

subtract from the rest of the number: 67-4 = 63

63 is divisible by 7, therefore 672 is divisible by 7