Divisibility Rule of 11: Rule, Examples

Divisibility Rule of 11

A number is divisible by 11 if the difference between the sum of its digits in odd places and the sum of its digits in even places is a multiple of 11 (including 0).

If the result is 0, 11, 22, 33, or any multiple of 11, then the number is divisible by 11.

Steps to Check Divisibility by 11

1. Write down the number.

2. Find the sum of the digits in odd places (from right to left).

3. Find the sum of the digits in even places (from right to left).

4. Subtract the two sums.

5. If the answer is 0 or a multiple of 11, then the number is divisible by 11.

Examples

Example 1: Is 2728 divisible by 11?

1. Number: 2728

2. Digits in odd places: 8 and 7 -> 8 + 7 = 15

3. Digits in even places: 2 and 2 -> 2 + 2 = 4

4. Subtract the sums: 15 - 4 = 11

2728 is divisible by 11.

Example 2: Is 31415 divisible by 11?

1. Number: 31415

2. Digits in odd places: 5, 4, 3  -> 5 + 4 + 3 = 12

3. Digits in even places: 1 and 1 -> 1 + 1 = 2

4. Subtract the sums: 12 - 2 = 10

31415 is not divisible by 11.

Try It Yourself:

Are they divisible by 11?
1. 7986
2. 4532
3. 90909