Divisibility Rule Chart and Worksheets

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Divisibility Rule Chart 1-12

Divisible By Rules of Divisibility
Divisibility Rule of 2 The last digit or the unit digit is even (0,2,4,6,8).
Divisibility Rule of 3 The sum of the digits is divisible by 3.
Divisibility Rule of 4 The last two digits are divisible by 4.
Divisibility Rule of 5 The unit digit or last digit is 0 or 5.
Divisibility Rule of 6 Number divisible by both 2 and 3
Divisibility Rule of 7 The last digit is multiplied by 2 and subtracted from the rest of the number. The result is either 0 or divisible by 7.
Divisibility Rule of 8 The last three digits are divisible by 8.
Divisibility Rule of 9 The sum of the digits is divisible by 9.
Divisibility The unit digit is zero
Divisibility Rule of 11 The sum of the even digits is subtracted from the sum of the odd digits. The result is either 0 or divisible by 11.
Divisibility Rule of 12 Number divisible by both 3 and 4.

Finding a number can be divided by two: divisibility rule of 2

The divisibility rule for number 2 assists in determining whether a number is divisible by 2.

Divisibility Rule of 2:
The last digit or the unit digit is even (0,2,4,6,8).

Example : 96512
Explanation :  96512
The unit digit is 2. 2 is an even number.

Finding a number can be divided by three: divisibility rule of 3

The divisibility rule for number 3 assists in determining whether a number is divisible by 3.

Divisibility Rule of 3:
The sum of the digits is divisible by 3.

Example : 123
Explanation :  123
Sum of the digit is, 1 + 2 + 3 = 6
Divisible by 3, = 6/3 = 2
The number can be divided by 3.

Finding a number can be divided by four: divisibility rule of 4

The divisibility rule for number 4 assists in determining whether a number is exactly divisible by 4.

Divisibility Rule of 4:
The sum of the digits is divisible by 4.

Example : 56184
Explanation :  56184
Last two digits are 84,
Divisible by 4, = 84/4 = 21
The numbers can be divided by 4.

Finding a number can be divided by five: divisibility rule of 5

The divisibility rule for number assists in determining whether a number is exactly divisible by 5.

Divisibility Rule of 5:
The unit digit or last digit is 0 or 5.

Example : 2685
Explanation :  2685
The unit digit is 5. It is satisfied by the divisibility rule of 5.
The numbers can be divided by 5.

Finding a number can be divided by six: divisibility rule of 6

The divisibility rule for number 6 assists in determining whether a number is exactly divisible by 6.

Divisibility Rule of 6:
Number divisible by both 2 and 3.

Example : 1986
Explanation :  1986
a) divisible by 2,
Unit digit is 6 and its an even number
b) divisible by 3,
Sum of the digits = 1 + 9 + 8 + 6 = 24/3 = 8
The number can be divided by 6.

Finding a number can be divided by seven: divisibility rule of 7

The divisibility rule for number 7 assists in determining whether a number is exactly divisible by 7.

Divisibility Rule of 7:
The last digit is multiplied by 2 and subtracted from the rest of the number. The result is either 0 or divisible by 7.

Example : 2205
Explanation :  2205
Last digit multiply by 2, 5 * 2 = 10
Subtracted rest of digits, 220 - 10 = 210
Divisible by 7, 210 / 7 = 30
The number can be divided by 7.

Finding a number can be divided by eight: divisibility rule of 8

The divisibility rule for number 8 assists in determining whether a number is exactly divisible by 8.

Divisibility Rule of 8:
The last three digits are divisible by 8.

Example : 100344
Explanation :  100344
The last three digits are, 344
Divisible by 8, 344 / 8 = 43
The numbers can be divided by 8.

Finding a number can be divided by nine: divisibility rule of 9

The divisibility rule for number 9 assists in determining whether a number is exactly divisible by 9.

Divisibility Rule of 9:
The sum of the digits is divisible by 9.

Example : 488349
Explanation :  488349
Sum of the digits is, 4 + 8 + 8 + 3 + 4 + 9 = 36
divisible by 9, 36/9 = 4
The numbers can be divided by 9.

Finding a number can be divided by ten: divisibility rule of 10

The divisibility rule for number 10 assists in determining whether a number is exactly divisible by 10.

Divisibility Rule of 10:
The unit digit is zero.

Example : 985640
Explanation :  985640
The unit digit is 0. It satisfies the divisible rule of 10.

Finding a number can be divided by eleven: divisibility rule of 11

The divisibility rule for number 11 assists in determining whether a number is exactly divisible by 11.

Divisibility Rule of 11:
The sum of the even digits is subtracted from the sum of the odd digits. The result is either 0 or divisible by 11.

Example : 292215
Explanation :  292215
By rule, (9+2+5) - (2+2+1) = 11
The numbers can be divided by 11.

Finding a number can be divided by twelve: divisibility rule of 12

The divisibility rule for number 12 assists in determining whether a number is exactly divisible by 12.

Divisibility Rule of 12:
Number divisible by both 3 and 4.

Example : 9012
Explanation :  9012
a) rule of divisible by 3,
sum of the digits, 9 + 0 + 1 + 2 = 12/3 = 4
b) rule of divisible by 4,
last two digits = 12/4 = 3 
The numbers can be divided by 12.