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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 7 example ( Enter your problem )
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  2. Divisibility rule of 2 example
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6. Divisibility rule of 6 example
(Previous example)		8. Divisibility rule of 8 example
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7. Divisibility rule of 7 example


1. Check whether 2037 is divisible by 7 or not?

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

`203color{red}{7}=>203 - color{red}{7} xx 2 = 203 -14 = 189`

`18color{red}{9}=>18 - color{red}{9} xx 2 = 18 -18 = 0`

Here 0 is divisible by 7.
`:.` 2037 is divisible by 7.


2. Check whether 2282 is divisible by 7 or not?

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

`228color{red}{2}=>228 - color{red}{2} xx 2 = 228 -4 = 224`

`22color{red}{4}=>22 - color{red}{4} xx 2 = 22 -8 = 14`

Here 14 is divisible by 7.
`:.` 2282 is divisible by 7.


3. Check whether 2709 is divisible by 7 or not?

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

`270color{red}{9}=>270 - color{red}{9} xx 2 = 270 -18 = 252`

`25color{red}{2}=>25 - color{red}{2} xx 2 = 25 -4 = 21`

Here 21 is divisible by 7.
`:.` 2709 is divisible by 7.


4. Check whether 1971 is divisible by 7 or not?

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

`197color{red}{1}=>197 - color{red}{1} xx 2 = 197 -2 = 195`

`19color{red}{5}=>19 - color{red}{5} xx 2 = 19 -10 = 9`

Here 9 is not divisible by 7.
`:.` 1971 is not divisible by 7.


5. Check whether 2138 is divisible by 7 or not?

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

`213color{red}{8}=>213 - color{red}{8} xx 2 = 213 -16 = 197`

`19color{red}{7}=>19 - color{red}{7} xx 2 = 19 -14 = 5`

Here 5 is not divisible by 7.
`:.` 2138 is not divisible by 7.


6. Check whether 2497 is divisible by 7 or not?

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

`249color{red}{7}=>249 - color{red}{7} xx 2 = 249 -14 = 235`

`23color{red}{5}=>23 - color{red}{5} xx 2 = 23 -10 = 13`

Here 13 is not divisible by 7.
`:.` 2497 is not divisible by 7.



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