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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 53 example ( Enter your problem )
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52. Divisibility rule of 52 example
(Previous example)		54. Divisibility rule of 54 example
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53. Divisibility rule of 53 example


1. Check whether 14522 is divisible by 53 or not?

Solution:
Divisibility rule of 53 :
16 times the last digit and add it to the rest of the number.
If the answer is divisible by 53, then number is also divisible by 53.
(Apply this rule to the answer again if necessary)

`1452color{red}{2}=>1452 + color{red}{2} xx 16 = 1452 +32 = 1484`

`148color{red}{4}=>148 + color{red}{4} xx 16 = 148 +64 = 212`

`21color{red}{2}=>21 + color{red}{2} xx 16 = 21 +32 = 53`

Here 53 is divisible by 53.
`:.` 14522 is divisible by 53.


2. Check whether 17649 is divisible by 53 or not?

Solution:
Divisibility rule of 53 :
16 times the last digit and add it to the rest of the number.
If the answer is divisible by 53, then number is also divisible by 53.
(Apply this rule to the answer again if necessary)

`1764color{red}{9}=>1764 + color{red}{9} xx 16 = 1764 +144 = 1908`

`190color{red}{8}=>190 + color{red}{8} xx 16 = 190 +128 = 318`

`31color{red}{8}=>31 + color{red}{8} xx 16 = 31 +128 = 159`

`15color{red}{9}=>15 + color{red}{9} xx 16 = 15 +144 = 159`

Here 159 is divisible by 53.
`:.` 17649 is divisible by 53.


3. Check whether 20299 is divisible by 53 or not?

Solution:
Divisibility rule of 53 :
16 times the last digit and add it to the rest of the number.
If the answer is divisible by 53, then number is also divisible by 53.
(Apply this rule to the answer again if necessary)

`2029color{red}{9}=>2029 + color{red}{9} xx 16 = 2029 +144 = 2173`

`217color{red}{3}=>217 + color{red}{3} xx 16 = 217 +48 = 265`

`26color{red}{5}=>26 + color{red}{5} xx 16 = 26 +80 = 106`

`10color{red}{6}=>10 + color{red}{6} xx 16 = 10 +96 = 106`

Here 106 is divisible by 53.
`:.` 20299 is divisible by 53.


4. Check whether 15484 is divisible by 53 or not?

Solution:
Divisibility rule of 53 :
16 times the last digit and add it to the rest of the number.
If the answer is divisible by 53, then number is also divisible by 53.
(Apply this rule to the answer again if necessary)

`1548color{red}{4}=>1548 + color{red}{4} xx 16 = 1548 +64 = 1612`

`161color{red}{2}=>161 + color{red}{2} xx 16 = 161 +32 = 193`

`19color{red}{3}=>19 + color{red}{3} xx 16 = 19 +48 = 67`

Here 67 is not divisible by 53.
`:.` 15484 is not divisible by 53.


5. Check whether 16568 is divisible by 53 or not?

Solution:
Divisibility rule of 53 :
16 times the last digit and add it to the rest of the number.
If the answer is divisible by 53, then number is also divisible by 53.
(Apply this rule to the answer again if necessary)

`1656color{red}{8}=>1656 + color{red}{8} xx 16 = 1656 +128 = 1784`

`178color{red}{4}=>178 + color{red}{4} xx 16 = 178 +64 = 242`

`24color{red}{2}=>24 + color{red}{2} xx 16 = 24 +32 = 56`

Here 56 is not divisible by 53.
`:.` 16568 is not divisible by 53.


6. Check whether 19815 is divisible by 53 or not?

Solution:
Divisibility rule of 53 :
16 times the last digit and add it to the rest of the number.
If the answer is divisible by 53, then number is also divisible by 53.
(Apply this rule to the answer again if necessary)

`1981color{red}{5}=>1981 + color{red}{5} xx 16 = 1981 +80 = 2061`

`206color{red}{1}=>206 + color{red}{1} xx 16 = 206 +16 = 222`

`22color{red}{2}=>22 + color{red}{2} xx 16 = 22 +32 = 54`

Here 54 is not divisible by 53.
`:.` 19815 is not divisible by 53.




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