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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 55 example ( Enter your problem )
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54. Divisibility rule of 54 example
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55. Divisibility rule of 55 example


1. Check whether 14740 is divisible by 55 or not?

Solution:
Divisibility rule of 55 :
If number is divisible by 5 and 11, then number is also divisible by 55.

Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.

Last digit of 14740 is 0, which is divisible by 5.

`:.` 14740 is divisible by 5.


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)

`1474color{red}{0}=>1474 - color{red}{0} = 1474`

`147color{red}{4}=>147 - color{red}{4} = 143`

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

Here 11 is divisible by 11.
`:.` 14740 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+7+0=8`

Sum of digits in even positions : `4+4=8`

Difference `=8-8=0`

which is divisible by 11.

`:.` 14740 is divisible by 11.


14740 is divisible by 5 and 11.

`:.` 14740 is divisible by 55.


2. Check whether 19085 is divisible by 55 or not?

Solution:
Divisibility rule of 55 :
If number is divisible by 5 and 11, then number is also divisible by 55.

Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.

Last digit of 19085 is 5, which is divisible by 5.

`:.` 19085 is divisible by 5.


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)

`1908color{red}{5}=>1908 - color{red}{5} = 1903`

`190color{red}{3}=>190 - color{red}{3} = 187`

`18color{red}{7}=>18 - color{red}{7} = 11`

Here 11 is divisible by 11.
`:.` 19085 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+0+5=6`

Sum of digits in even positions : `9+8=17`

Difference `=17-6=11`

which is divisible by 11.

`:.` 19085 is divisible by 11.


19085 is divisible by 5 and 11.

`:.` 19085 is divisible by 55.


3. Check whether 20460 is divisible by 55 or not?

Solution:
Divisibility rule of 55 :
If number is divisible by 5 and 11, then number is also divisible by 55.

Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.

Last digit of 20460 is 0, which is divisible by 5.

`:.` 20460 is divisible by 5.


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)

`2046color{red}{0}=>2046 - color{red}{0} = 2046`

`204color{red}{6}=>204 - color{red}{6} = 198`

`19color{red}{8}=>19 - color{red}{8} = 11`

Here 11 is divisible by 11.
`:.` 20460 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 : `2+4+0=6`

Sum of digits in even positions : `0+6=6`

Difference `=6-6=0`

which is divisible by 11.

`:.` 20460 is divisible by 11.


20460 is divisible by 5 and 11.

`:.` 20460 is divisible by 55.


4. Check whether 14723 is divisible by 55 or not?

Solution:
Divisibility rule of 55 :
If number is divisible by 5 and 11, then number is also divisible by 55.

Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.

Last digit of 14723 is 3, which is not divisible by 5.

`:.` 14723 is not divisible by 5.


Hence 14723 is also not divisible by 55.

5. Check whether 17011 is divisible by 55 or not?

Solution:
Divisibility rule of 55 :
If number is divisible by 5 and 11, then number is also divisible by 55.

Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.

Last digit of 17011 is 1, which is not divisible by 5.

`:.` 17011 is not divisible by 5.


Hence 17011 is also not divisible by 55.

6. Check whether 21353 is divisible by 55 or not?

Solution:
Divisibility rule of 55 :
If number is divisible by 5 and 11, then number is also divisible by 55.

Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.

Last digit of 21353 is 3, which is not divisible by 5.

`:.` 21353 is not divisible by 5.


Hence 21353 is also not divisible by 55.


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