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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 92 example ( Enter your problem )
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91. Divisibility rule of 91 example
(Previous example)		93. Divisibility rule of 93 example
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92. Divisibility rule of 92 example


1. Check whether 27048 is divisible by 92 or not?

Solution:
Divisibility rule of 92 :
If number is divisible by 4 and 23, then number is also divisible by 92.

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

Last 2 digit of 27048 is 48, which is divisible by 4.

`:.` 27048 is divisible by 4.


Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)

`2704color{red}{8}=>2704 + color{red}{8} xx 7 = 2704 +56 = 2760`

`276color{red}{0}=>276 + color{red}{0} xx 7 = 276 = 276`

`27color{red}{6}=>27 + color{red}{6} xx 7 = 27 +42 = 69`

Here 69 is divisible by 23.
`:.` 27048 is divisible by 23.


27048 is divisible by 4 and 23.

`:.` 27048 is divisible by 92.


2. Check whether 29992 is divisible by 92 or not?

Solution:
Divisibility rule of 92 :
If number is divisible by 4 and 23, then number is also divisible by 92.

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

Last 2 digit of 29992 is 92, which is divisible by 4.

`:.` 29992 is divisible by 4.


Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)

`2999color{red}{2}=>2999 + color{red}{2} xx 7 = 2999 +14 = 3013`

`301color{red}{3}=>301 + color{red}{3} xx 7 = 301 +21 = 322`

`32color{red}{2}=>32 + color{red}{2} xx 7 = 32 +14 = 46`

Here 46 is divisible by 23.
`:.` 29992 is divisible by 23.


29992 is divisible by 4 and 23.

`:.` 29992 is divisible by 92.


3. Check whether 32568 is divisible by 92 or not?

Solution:
Divisibility rule of 92 :
If number is divisible by 4 and 23, then number is also divisible by 92.

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

Last 2 digit of 32568 is 68, which is divisible by 4.

`:.` 32568 is divisible by 4.


Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)

`3256color{red}{8}=>3256 + color{red}{8} xx 7 = 3256 +56 = 3312`

`331color{red}{2}=>331 + color{red}{2} xx 7 = 331 +14 = 345`

`34color{red}{5}=>34 + color{red}{5} xx 7 = 34 +35 = 69`

Here 69 is divisible by 23.
`:.` 32568 is divisible by 23.


32568 is divisible by 4 and 23.

`:.` 32568 is divisible by 92.


4. Check whether 25725 is divisible by 92 or not?

Solution:
Divisibility rule of 92 :
If number is divisible by 4 and 23, then number is also divisible by 92.

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

Last 2 digit of 25725 is 25, which is not divisible by 4.

`:.` 25725 is not divisible by 4.


Hence 25725 is also not divisible by 92.

5. Check whether 30180 is divisible by 92 or not?

Solution:
Divisibility rule of 92 :
If number is divisible by 4 and 23, then number is also divisible by 92.

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

Last 2 digit of 30180 is 80, which is divisible by 4.

`:.` 30180 is divisible by 4.


Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)

`3018color{red}{0}=>3018 + color{red}{0} xx 7 = 3018 = 3018`

`301color{red}{8}=>301 + color{red}{8} xx 7 = 301 +56 = 357`

`35color{red}{7}=>35 + color{red}{7} xx 7 = 35 +49 = 84`

Here 84 is not divisible by 23.
`:.` 30180 is not divisible by 23.


Hence 30180 is also not divisible by 92.

6. Check whether 32771 is divisible by 92 or not?

Solution:
Divisibility rule of 92 :
If number is divisible by 4 and 23, then number is also divisible by 92.

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

Last 2 digit of 32771 is 71, which is not divisible by 4.

`:.` 32771 is not divisible by 4.


Hence 32771 is also not divisible by 92.


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