Learning these divisibility rules can help you a great deal when finding the factors of a number.

These rules can also help when finding the LCM and GCF

**Divisible by 2**

The number ends in an even number then it is divisible by 2

**Divisible by 3**

Add the digits of the number together and if the sum is divisible by 3 the entire number is divisible by 3

**Divisible by 4**

If the last two digits are divisible by 4 then the original number is divisible by 4

**Divisible by 5**

If the number ends in 5 or 0 then the number is divisible by 5

**Divisible by 6**

If the number is divisible by 2 or 3 then the number is also divisible by 6

**Divisible by 7**

Multiply the last digit by 2 then subtract this from the remaining number, if this number is zero or divisible by 7 then the number is divisible by 7.

Example: 168

8 x 2 = 16

16-16 = 0 16 is the remaining number when you take the 8 away

7 x 24 = 168

**Divisible by 8**

Divide the number by 2 twice, if this number is even, then the number is divisible by 8

64 64/2 = 32

32/2 = 16 which even so 64 is divisible by 8

8 x 8 = 64

**Divisible by 9**

If the sum of the digits is divisible by 9 then the number is divisible by 9

72 7+2 = 9

9 /9 = 1

9 x 8 = 72

**Divisible by 10**

If the number ends in zero, the number is divisible by 10

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