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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 44 example ( Enter your problem )
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43. Divisibility rule of 43 example
(Previous example)		45. Divisibility rule of 45 example
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44. Divisibility rule of 44 example


1. Check whether 11572 is divisible by 44 or not?

Solution:
Divisibility rule of 44 :
If number is divisible by 4 and 11, then number is also divisible by 44.

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

Last 2 digit of 11572 is 72, which is divisible by 4.

`:.` 11572 is divisible by 4.


Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`1157color{red}{2}=>1157 - color{red}{2} = 1155`

`115color{red}{5}=>115 - color{red}{5} = 110`

`11color{red}{0}=>11 - color{red}{0} = 11`

Here 11 is divisible by 11.
`:.` 11572 is divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `1+5+2=8`

Sum of digits in even positions : `1+7=8`

Difference `=8-8=0`

which is divisible by 11.

`:.` 11572 is divisible by 11.


11572 is divisible by 4 and 11.

`:.` 11572 is divisible by 44.


2. Check whether 14476 is divisible by 44 or not?

Solution:
Divisibility rule of 44 :
If number is divisible by 4 and 11, then number is also divisible by 44.

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

Last 2 digit of 14476 is 76, which is divisible by 4.

`:.` 14476 is divisible by 4.


Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`1447color{red}{6}=>1447 - color{red}{6} = 1441`

`144color{red}{1}=>144 - color{red}{1} = 143`

`14color{red}{3}=>14 - color{red}{3} = 11`

Here 11 is divisible by 11.
`:.` 14476 is divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `1+4+6=11`

Sum of digits in even positions : `4+7=11`

Difference `=11-11=0`

which is divisible by 11.

`:.` 14476 is divisible by 11.


14476 is divisible by 4 and 11.

`:.` 14476 is divisible by 44.


3. Check whether 17292 is divisible by 44 or not?

Solution:
Divisibility rule of 44 :
If number is divisible by 4 and 11, then number is also divisible by 44.

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

Last 2 digit of 17292 is 92, which is divisible by 4.

`:.` 17292 is divisible by 4.


Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`1729color{red}{2}=>1729 - color{red}{2} = 1727`

`172color{red}{7}=>172 - color{red}{7} = 165`

`16color{red}{5}=>16 - color{red}{5} = 11`

Here 11 is divisible by 11.
`:.` 17292 is divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `1+2+2=5`

Sum of digits in even positions : `7+9=16`

Difference `=16-5=11`

which is divisible by 11.

`:.` 17292 is divisible by 11.


17292 is divisible by 4 and 11.

`:.` 17292 is divisible by 44.


4. Check whether 11154 is divisible by 44 or not?

Solution:
Divisibility rule of 44 :
If number is divisible by 4 and 11, then number is also divisible by 44.

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

Last 2 digit of 11154 is 54, which is not divisible by 4.

`:.` 11154 is not divisible by 4.


Hence 11154 is also not divisible by 44.

5. Check whether 15372 is divisible by 44 or not?

Solution:
Divisibility rule of 44 :
If number is divisible by 4 and 11, then number is also divisible by 44.

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

Last 2 digit of 15372 is 72, which is divisible by 4.

`:.` 15372 is divisible by 4.


Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`1537color{red}{2}=>1537 - color{red}{2} = 1535`

`153color{red}{5}=>153 - color{red}{5} = 148`

`14color{red}{8}=>14 - color{red}{8} = 6`

Here 6 is not divisible by 11.
`:.` 15372 is not divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `1+3+2=6`

Sum of digits in even positions : `5+7=12`

Difference `=12-6=6`

which is not divisible by 11.

`:.` 15372 is not divisible by 11.


Hence 15372 is also not divisible by 44.

6. Check whether 16952 is divisible by 44 or not?

Solution:
Divisibility rule of 44 :
If number is divisible by 4 and 11, then number is also divisible by 44.

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

Last 2 digit of 16952 is 52, which is divisible by 4.

`:.` 16952 is divisible by 4.


Divisibility rule of 11 :
Subtract the last digit from the rest of the number.
If the answer is divisible by 11, then number is also divisible by 11.
(Apply this rule to the answer again if necessary)

`1695color{red}{2}=>1695 - color{red}{2} = 1693`

`169color{red}{3}=>169 - color{red}{3} = 166`

`16color{red}{6}=>16 - color{red}{6} = 10`

Here 10 is not divisible by 11.
`:.` 16952 is not divisible by 11.

Method-2 :
Divisibility rule of 11 :
(Sum of digits in odd positions) - (Sum of digits in even positions) is 0 or divisible by 11, then number is also divisible by 11.

Sum of digits in odd positions : `1+9+2=12`

Sum of digits in even positions : `6+5=11`

Difference `=11-12=-1`

which is not divisible by 11.

`:.` 16952 is not divisible by 11.


Hence 16952 is also not divisible by 44.


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