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## Answers

**If an number is even, then it is divisible by 2. Even numbers end in 0, 2, 4, 6, 8.**

Example: 170; 12; 86

**If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.**

Example: The number is 162.

1 + 6 + 2 = 9 (9 is divisible by 3)

**If a the last two digits of a number is divisible by 4, then the number is divisible by 4.**

Ex. 512,0

**64 (**64 is divisible y 4)

**If a number is divisible by both 2 and 3, then the number is divisible by 6.**

Ex. The number 162 is an even number and also divisible by 3.

**If a number is divisible by both 3 and 4, then the numbers is divisible by 12.**

Ex. The sum of the digits of 512,0

**64 i**s 18. (18 is divisible by 3, and 64 is divisible by 4)

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

Ex. 50; 65; 156,675

**If the last three digits of a number is divisible by 8, then the number is divisible by 8.**

Ex. 1,

**112**(112 is divisible by 8)

**If the sum of the digits is divisible by 9, then the number is divisible by 9.**

Ex. 846 ⇒ 8 + 4 + 6 = 18 (18 is divisible by 9)

**If a number ends in 0, then the number is divisible by 10.**

Ex. 10; 500

Example: 170; 12; 86

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

Example: The number is 162.

1 + 6 + 2 = 9 (9 is divisible by 3)

If a the last two digits of a number is divisible by 4, then the number is divisible by 4.

Ex. 512,064 (64 is divisible y 4)

If a number is divisible by both 2 and 3, then the number is divisible by 6.

Ex. The number 162 is an even number and also divisible by 3.

If a number is divisible by both 3 and 4, then the numbers is divisible by 12.

Ex. The sum of the digits of 512,064 is 18. (18 is divisible by 3, and 64 is divisible by 4)

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

Ex. 50; 65; 156,675

If the last three digits of a number is divisible by 8, then the number is divisible by 8.

Ex. 1,112 (112 is divisible by 8)

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

Ex. 846 ⇒ 8 + 4 + 6 = 18 (18 is divisible by 9)

If a number ends in 0, then the number is divisible by 10.

Ex. 10; 500