What are the 10 Divisibility rules?

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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

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