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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 67 example ( Enter your problem )
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66. Divisibility rule of 66 example
(Previous example)		68. Divisibility rule of 68 example
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67. Divisibility rule of 67 example


1. Check whether 16951 is divisible by 67 or not?

Solution:
Divisibility rule of 67 :
20 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 67, then number is also divisible by 67.
(Apply this rule to the answer again if necessary)

`1695color{red}{1}=>1695 - color{red}{1} xx 20 = 1695 -20 = 1675`

`167color{red}{5}=>167 - color{red}{5} xx 20 = 167 -100 = 67`

Here 67 is divisible by 67.
`:.` 16951 is divisible by 67.


2. Check whether 20904 is divisible by 67 or not?

Solution:
Divisibility rule of 67 :
20 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 67, then number is also divisible by 67.
(Apply this rule to the answer again if necessary)

`2090color{red}{4}=>2090 - color{red}{4} xx 20 = 2090 -80 = 2010`

`201color{red}{0}=>201 - color{red}{0} xx 20 = 201 = 201`

`20color{red}{1}=>20 - color{red}{1} xx 20 = 20 -20 = 0`

Here 0 is divisible by 67.
`:.` 20904 is divisible by 67.


3. Check whether 26197 is divisible by 67 or not?

Solution:
Divisibility rule of 67 :
20 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 67, then number is also divisible by 67.
(Apply this rule to the answer again if necessary)

`2619color{red}{7}=>2619 - color{red}{7} xx 20 = 2619 -140 = 2479`

`247color{red}{9}=>247 - color{red}{9} xx 20 = 247 -180 = 67`

Here 67 is divisible by 67.
`:.` 26197 is divisible by 67.


4. Check whether 18453 is divisible by 67 or not?

Solution:
Divisibility rule of 67 :
20 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 67, then number is also divisible by 67.
(Apply this rule to the answer again if necessary)

`1845color{red}{3}=>1845 - color{red}{3} xx 20 = 1845 -60 = 1785`

`178color{red}{5}=>178 - color{red}{5} xx 20 = 178 -100 = 78`

Here 78 is not divisible by 67.
`:.` 18453 is not divisible by 67.


5. Check whether 23141 is divisible by 67 or not?

Solution:
Divisibility rule of 67 :
20 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 67, then number is also divisible by 67.
(Apply this rule to the answer again if necessary)

`2314color{red}{1}=>2314 - color{red}{1} xx 20 = 2314 -20 = 2294`

`229color{red}{4}=>229 - color{red}{4} xx 20 = 229 -80 = 149`

`14color{red}{9}=>14 - color{red}{9} xx 20 = 14 -180 = -166`

Here -166 is not divisible by 67.
`:.` 23141 is not divisible by 67.


6. Check whether 24661 is divisible by 67 or not?

Solution:
Divisibility rule of 67 :
20 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 67, then number is also divisible by 67.
(Apply this rule to the answer again if necessary)

`2466color{red}{1}=>2466 - color{red}{1} xx 20 = 2466 -20 = 2446`

`244color{red}{6}=>244 - color{red}{6} xx 20 = 244 -120 = 124`

`12color{red}{4}=>12 - color{red}{4} xx 20 = 12 -80 = -68`

Here -68 is not divisible by 67.
`:.` 24661 is not divisible by 67.




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