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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 31 example ( Enter your problem )
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30. Divisibility rule of 30 example
(Previous example)		32. Divisibility rule of 32 example
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31. Divisibility rule of 31 example


1. Check whether 9083 is divisible by 31 or not?

Solution:
Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`908color{red}{3}=>908 - color{red}{3} xx 3 = 908 -9 = 899`

`89color{red}{9}=>89 - color{red}{9} xx 3 = 89 -27 = 62`

Here 62 is divisible by 31.
`:.` 9083 is divisible by 31.


2. Check whether 9889 is divisible by 31 or not?

Solution:
Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`988color{red}{9}=>988 - color{red}{9} xx 3 = 988 -27 = 961`

`96color{red}{1}=>96 - color{red}{1} xx 3 = 96 -3 = 93`

Here 93 is divisible by 31.
`:.` 9889 is divisible by 31.


3. Check whether 12307 is divisible by 31 or not?

Solution:
Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`1230color{red}{7}=>1230 - color{red}{7} xx 3 = 1230 -21 = 1209`

`120color{red}{9}=>120 - color{red}{9} xx 3 = 120 -27 = 93`

Here 93 is divisible by 31.
`:.` 12307 is divisible by 31.


4. Check whether 8571 is divisible by 31 or not?

Solution:
Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`857color{red}{1}=>857 - color{red}{1} xx 3 = 857 -3 = 854`

`85color{red}{4}=>85 - color{red}{4} xx 3 = 85 -12 = 73`

Here 73 is not divisible by 31.
`:.` 8571 is not divisible by 31.


5. Check whether 10676 is divisible by 31 or not?

Solution:
Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`1067color{red}{6}=>1067 - color{red}{6} xx 3 = 1067 -18 = 1049`

`104color{red}{9}=>104 - color{red}{9} xx 3 = 104 -27 = 77`

Here 77 is not divisible by 31.
`:.` 10676 is not divisible by 31.


6. Check whether 11554 is divisible by 31 or not?

Solution:
Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`1155color{red}{4}=>1155 - color{red}{4} xx 3 = 1155 -12 = 1143`

`114color{red}{3}=>114 - color{red}{3} xx 3 = 114 -9 = 105`

`10color{red}{5}=>10 - color{red}{5} xx 3 = 10 -15 = -5`

Here -5 is not divisible by 31.
`:.` 11554 is not divisible by 31.




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