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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 71 example ( Enter your problem )
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70. Divisibility rule of 70 example
(Previous example)		72. Divisibility rule of 72 example
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71. Divisibility rule of 71 example


1. Check whether 19809 is divisible by 71 or not?

Solution:
Divisibility rule of 71 :
7 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 71, then number is also divisible by 71.
(Apply this rule to the answer again if necessary)

`1980color{red}{9}=>1980 - color{red}{9} xx 7 = 1980 -63 = 1917`

`191color{red}{7}=>191 - color{red}{7} xx 7 = 191 -49 = 142`

`14color{red}{2}=>14 - color{red}{2} xx 7 = 14 -14 = 0`

Here 0 is divisible by 71.
`:.` 19809 is divisible by 71.


2. Check whether 22507 is divisible by 71 or not?

Solution:
Divisibility rule of 71 :
7 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 71, then number is also divisible by 71.
(Apply this rule to the answer again if necessary)

`2250color{red}{7}=>2250 - color{red}{7} xx 7 = 2250 -49 = 2201`

`220color{red}{1}=>220 - color{red}{1} xx 7 = 220 -7 = 213`

`21color{red}{3}=>21 - color{red}{3} xx 7 = 21 -21 = 0`

Here 0 is divisible by 71.
`:.` 22507 is divisible by 71.


3. Check whether 27264 is divisible by 71 or not?

Solution:
Divisibility rule of 71 :
7 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 71, then number is also divisible by 71.
(Apply this rule to the answer again if necessary)

`2726color{red}{4}=>2726 - color{red}{4} xx 7 = 2726 -28 = 2698`

`269color{red}{8}=>269 - color{red}{8} xx 7 = 269 -56 = 213`

`21color{red}{3}=>21 - color{red}{3} xx 7 = 21 -21 = 0`

Here 0 is divisible by 71.
`:.` 27264 is divisible by 71.


4. Check whether 18273 is divisible by 71 or not?

Solution:
Divisibility rule of 71 :
7 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 71, then number is also divisible by 71.
(Apply this rule to the answer again if necessary)

`1827color{red}{3}=>1827 - color{red}{3} xx 7 = 1827 -21 = 1806`

`180color{red}{6}=>180 - color{red}{6} xx 7 = 180 -42 = 138`

`13color{red}{8}=>13 - color{red}{8} xx 7 = 13 -56 = -43`

Here -43 is not divisible by 71.
`:.` 18273 is not divisible by 71.


5. Check whether 24223 is divisible by 71 or not?

Solution:
Divisibility rule of 71 :
7 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 71, then number is also divisible by 71.
(Apply this rule to the answer again if necessary)

`2422color{red}{3}=>2422 - color{red}{3} xx 7 = 2422 -21 = 2401`

`240color{red}{1}=>240 - color{red}{1} xx 7 = 240 -7 = 233`

`23color{red}{3}=>23 - color{red}{3} xx 7 = 23 -21 = 2`

Here 2 is not divisible by 71.
`:.` 24223 is not divisible by 71.


6. Check whether 25207 is divisible by 71 or not?

Solution:
Divisibility rule of 71 :
7 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 71, then number is also divisible by 71.
(Apply this rule to the answer again if necessary)

`2520color{red}{7}=>2520 - color{red}{7} xx 7 = 2520 -49 = 2471`

`247color{red}{1}=>247 - color{red}{1} xx 7 = 247 -7 = 240`

`24color{red}{0}=>24 - color{red}{0} xx 7 = 24 = 24`

Here 24 is not divisible by 71.
`:.` 25207 is not divisible by 71.




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