1. Rules of Divisibility
A number is said to be “divisible” by a number if you can divide it by that number and get no remainder.

2. Rules of Divisibility For example:
8 is divisible by 2, since 8 ÷ 2 = 4
7 is not divisible by 3, since 7 ÷ 3 = 2, r 1

3. Rules of Divisibility
A number is divisible by 2 if
it is even - that is, if it ends in 2, 4, 6, 8 or 0

4. Rules of Divisibility the sum of its digits are divisible by 3.
A number is divisible by 3 if
the sum of its digits are divisible by 3.
3,891  = is divisible by 3 so 3,891 is too.

5. Rules of Divisibility its last two digits are divisible by 4.
A number is divisible by 4 if
its last two digits are divisible by 4.
901,264  64 ÷ 4 = 16, so 901,264 is divisible by 4.

6. Rules of Divisibility its last digit is a 5 or 0.
A number is divisible by 5 if
its last digit is a 5 or 0.

7. Rules of Divisibility is divisible by 2 and by 3.
A number is divisible by 6 if
is divisible by 2 and by 3.
564  last digit even (so 2) 564  = 15 (so 3)
Since both 2 and 3, then 6.

8. Rules of Divisibility
There are no rules for 7 so
you will have to divide a number by hand or by using a calculator to see if it is divisible by 7.

9. Rules of Divisibility its last three digits are divisible by 8.
A number is divisible by 8 if
its last three digits are divisible by 8.
72,832  832 ÷ 8 = 104, so 72,832 is divisible by 8.

10. Rules of Divisibility the sum of its digits are divisible by 9.
A number is divisible by 9 if
the sum of its digits are divisible by 9.
21,528  = 18. Since 18 is divisible by 9, so is 21,528.

11. Rules of Divisibility its last digit is a 0.
A number is divisible by 10 if
its last digit is a 0.

12. Similar Rules 2, 5 and 10: last digit
3 and 9: sum of the digits divided
4 and 8: last two or three digits divided
6: depends on 2 and 3
7: no rules