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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 82 example ( Enter your problem )
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81. Divisibility rule of 81 example
(Previous example)		83. Divisibility rule of 83 example
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82. Divisibility rule of 82 example


1. Check whether 23698 is divisible by 82 or not?

Solution:
Divisibility rule of 82 :
If number is divisible by 2 and 41, then number is also divisible by 82.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 23698 is 8, which is divisible by 2.

`:.` 23698 is divisible by 2.


Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)

`2369color{red}{8}=>2369 - color{red}{8} xx 4 = 2369 -32 = 2337`

`233color{red}{7}=>233 - color{red}{7} xx 4 = 233 -28 = 205`

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

Here 0 is divisible by 41.
`:.` 23698 is divisible by 41.


23698 is divisible by 2 and 41.

`:.` 23698 is divisible by 82.


2. Check whether 24764 is divisible by 82 or not?

Solution:
Divisibility rule of 82 :
If number is divisible by 2 and 41, then number is also divisible by 82.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 24764 is 4, which is divisible by 2.

`:.` 24764 is divisible by 2.


Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)

`2476color{red}{4}=>2476 - color{red}{4} xx 4 = 2476 -16 = 2460`

`246color{red}{0}=>246 - color{red}{0} xx 4 = 246 = 246`

`24color{red}{6}=>24 - color{red}{6} xx 4 = 24 -24 = 0`

Here 0 is divisible by 41.
`:.` 24764 is divisible by 41.


24764 is divisible by 2 and 41.

`:.` 24764 is divisible by 82.


3. Check whether 32226 is divisible by 82 or not?

Solution:
Divisibility rule of 82 :
If number is divisible by 2 and 41, then number is also divisible by 82.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 32226 is 6, which is divisible by 2.

`:.` 32226 is divisible by 2.


Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)

`3222color{red}{6}=>3222 - color{red}{6} xx 4 = 3222 -24 = 3198`

`319color{red}{8}=>319 - color{red}{8} xx 4 = 319 -32 = 287`

`28color{red}{7}=>28 - color{red}{7} xx 4 = 28 -28 = 0`

Here 0 is divisible by 41.
`:.` 32226 is divisible by 41.


32226 is divisible by 2 and 41.

`:.` 32226 is divisible by 82.


4. Check whether 24588 is divisible by 82 or not?

Solution:
Divisibility rule of 82 :
If number is divisible by 2 and 41, then number is also divisible by 82.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 24588 is 8, which is divisible by 2.

`:.` 24588 is divisible by 2.


Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)

`2458color{red}{8}=>2458 - color{red}{8} xx 4 = 2458 -32 = 2426`

`242color{red}{6}=>242 - color{red}{6} xx 4 = 242 -24 = 218`

`21color{red}{8}=>21 - color{red}{8} xx 4 = 21 -32 = -11`

Here -11 is not divisible by 41.
`:.` 24588 is not divisible by 41.


Hence 24588 is also not divisible by 82.

5. Check whether 26434 is divisible by 82 or not?

Solution:
Divisibility rule of 82 :
If number is divisible by 2 and 41, then number is also divisible by 82.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 26434 is 4, which is divisible by 2.

`:.` 26434 is divisible by 2.


Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)

`2643color{red}{4}=>2643 - color{red}{4} xx 4 = 2643 -16 = 2627`

`262color{red}{7}=>262 - color{red}{7} xx 4 = 262 -28 = 234`

`23color{red}{4}=>23 - color{red}{4} xx 4 = 23 -16 = 7`

Here 7 is not divisible by 41.
`:.` 26434 is not divisible by 41.


Hence 26434 is also not divisible by 82.

6. Check whether 32439 is divisible by 82 or not?

Solution:
Divisibility rule of 82 :
If number is divisible by 2 and 41, then number is also divisible by 82.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 32439 is 9, which is not divisible by 2.

`:.` 32439 is not divisible by 2.


Hence 32439 is also not divisible by 82.



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