# Divisibility Rules

## Divisibility Rules for 2,3,4,5,6,9,10

The divisibility rule for 2- If the last digit is even, then it is divisible by 2.

128 Yes

129 No

The divisibility rule for 3- If you add up all the digits in a number and they are divisible by 3, then the number will be.

381(3+8+1=12 12 ÷ 3 = 4 ) Yes

217 (2+7+1= 8 8 ÷ 3= 3 1/3 ) No

The divisibility rule for 4- The last two digits are divisible by 4.

1312 (12 ÷ 4= 3) Yes

7019 Is not

The divisibility rule for 5- If the last digit ends in 0 or 5

175 IS

809 Is Not

The divisibility rule for 6- The number is divisible by 2 and 3

114 (it is even, and 1+1+4 = 6 and 6÷ 3 = 2) Yes

308 ( it is even, but 3+0+8= 11 11 ÷ 3 = 3 2/3

The divisibility rule for 9- The sum of the digits is divisible by 9

1629- 1+6+2+9= 18 again 1+8 = 9 Yes

2013- 2+0+1+3= 6 No

The divisibility rule for 10- If number ends in zero

210 Yes

211 No

Examples:

940- Is divisible by 5,4, and 10 - This number is divisible by 5 and 10 because it ends in zero. This number is also divisible by 4 because the last two digits is 40 and 4 goes into 40.

536- Is divisible by 4. - This number is divisible by 4 because the last two digits ,36, is a multiple of 4.

375- Is divisible by 5 and 3.- This number is divisible by three because the sum of the digits in the number equals 15, and 15 is a multiple of 3. This number is divisible by 5 because the number ends in 5.

Divisibility
Divisibility Rules