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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 68 example ( Enter your problem )
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67. Divisibility rule of 67 example
(Previous example)		69. Divisibility rule of 69 example
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68. Divisibility rule of 68 example


1. Check whether 18632 is divisible by 68 or not?

Solution:
Divisibility rule of 68 :
If number is divisible by 4 and 17, then number is also divisible by 68.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 18632 is 32, which is divisible by 4.

`:.` 18632 is divisible by 4.


Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`1863color{red}{2}=>1863 - color{red}{2} xx 5 = 1863 -10 = 1853`

`185color{red}{3}=>185 - color{red}{3} xx 5 = 185 -15 = 170`

`17color{red}{0}=>17 - color{red}{0} xx 5 = 17 = 17`

Here 17 is divisible by 17.
`:.` 18632 is divisible by 17.


18632 is divisible by 4 and 17.

`:.` 18632 is divisible by 68.


2. Check whether 22440 is divisible by 68 or not?

Solution:
Divisibility rule of 68 :
If number is divisible by 4 and 17, then number is also divisible by 68.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 22440 is 40, which is divisible by 4.

`:.` 22440 is divisible by 4.


Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`2244color{red}{0}=>2244 - color{red}{0} xx 5 = 2244 = 2244`

`224color{red}{4}=>224 - color{red}{4} xx 5 = 224 -20 = 204`

`20color{red}{4}=>20 - color{red}{4} xx 5 = 20 -20 = 0`

Here 0 is divisible by 17.
`:.` 22440 is divisible by 17.


22440 is divisible by 4 and 17.

`:.` 22440 is divisible by 68.


3. Check whether 26180 is divisible by 68 or not?

Solution:
Divisibility rule of 68 :
If number is divisible by 4 and 17, then number is also divisible by 68.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 26180 is 80, which is divisible by 4.

`:.` 26180 is divisible by 4.


Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`2618color{red}{0}=>2618 - color{red}{0} xx 5 = 2618 = 2618`

`261color{red}{8}=>261 - color{red}{8} xx 5 = 261 -40 = 221`

`22color{red}{1}=>22 - color{red}{1} xx 5 = 22 -5 = 17`

Here 17 is divisible by 17.
`:.` 26180 is divisible by 17.


26180 is divisible by 4 and 17.

`:.` 26180 is divisible by 68.


4. Check whether 20132 is divisible by 68 or not?

Solution:
Divisibility rule of 68 :
If number is divisible by 4 and 17, then number is also divisible by 68.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 20132 is 32, which is divisible by 4.

`:.` 20132 is divisible by 4.


Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`2013color{red}{2}=>2013 - color{red}{2} xx 5 = 2013 -10 = 2003`

`200color{red}{3}=>200 - color{red}{3} xx 5 = 200 -15 = 185`

`18color{red}{5}=>18 - color{red}{5} xx 5 = 18 -25 = -7`

Here -7 is not divisible by 17.
`:.` 20132 is not divisible by 17.


Hence 20132 is also not divisible by 68.

5. Check whether 23273 is divisible by 68 or not?

Solution:
Divisibility rule of 68 :
If number is divisible by 4 and 17, then number is also divisible by 68.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 23273 is 73, which is not divisible by 4.

`:.` 23273 is not divisible by 4.


Hence 23273 is also not divisible by 68.

6. Check whether 26370 is divisible by 68 or not?

Solution:
Divisibility rule of 68 :
If number is divisible by 4 and 17, then number is also divisible by 68.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 26370 is 70, which is not divisible by 4.

`:.` 26370 is not divisible by 4.


Hence 26370 is also not divisible by 68.



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67. Divisibility rule of 67 example
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