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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 11 example ( Enter your problem )
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  2. Divisibility rule of 2 example
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10. Divisibility rule of 10 example
(Previous example)		12. Divisibility rule of 12 example
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11. Divisibility rule of 11 example


1. Check whether 2860 is divisible by 11 or not?

Solution:
Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`286color{red}{0}=>286 - color{red}{0} = 286`

`28color{red}{6}=>28 - color{red}{6} = 22`

Here 22 is divisible by 11.
`:.` 2860 is divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `8+0=8`

Sum of digits in even positions : `2+6=8`

Difference `=8-8=0`

which is divisible by 11.

`:.` 2860 is divisible by 11.


2. Check whether 3344 is divisible by 11 or not?

Solution:
Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`334color{red}{4}=>334 - color{red}{4} = 330`

`33color{red}{0}=>33 - color{red}{0} = 33`

Here 33 is divisible by 11.
`:.` 3344 is divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `3+4=7`

Sum of digits in even positions : `3+4=7`

Difference `=7-7=0`

which is divisible by 11.

`:.` 3344 is divisible by 11.


3. Check whether 4092 is divisible by 11 or not?

Solution:
Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`409color{red}{2}=>409 - color{red}{2} = 407`

`40color{red}{7}=>40 - color{red}{7} = 33`

Here 33 is divisible by 11.
`:.` 4092 is divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `0+2=2`

Sum of digits in even positions : `4+9=13`

Difference `=13-2=11`

which is divisible by 11.

`:.` 4092 is divisible by 11.


4. Check whether 3017 is divisible by 11 or not?

Solution:
Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`301color{red}{7}=>301 - color{red}{7} = 294`

`29color{red}{4}=>29 - color{red}{4} = 25`

Here 25 is not divisible by 11.
`:.` 3017 is not divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `0+7=7`

Sum of digits in even positions : `3+1=4`

Difference `=4-7=-3`

which is not divisible by 11.

`:.` 3017 is not divisible by 11.


5. Check whether 3635 is divisible by 11 or not?

Solution:
Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`363color{red}{5}=>363 - color{red}{5} = 358`

`35color{red}{8}=>35 - color{red}{8} = 27`

Here 27 is not divisible by 11.
`:.` 3635 is not divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `6+5=11`

Sum of digits in even positions : `3+3=6`

Difference `=6-11=-5`

which is not divisible by 11.

`:.` 3635 is not divisible by 11.


6. Check whether 3957 is divisible by 11 or not?

Solution:
Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`395color{red}{7}=>395 - color{red}{7} = 388`

`38color{red}{8}=>38 - color{red}{8} = 30`

Here 30 is not divisible by 11.
`:.` 3957 is not divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `9+7=16`

Sum of digits in even positions : `3+5=8`

Difference `=8-16=-8`

which is not divisible by 11.

`:.` 3957 is not divisible by 11.




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