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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 70 example ( Enter your problem )
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69. Divisibility rule of 69 example
(Previous example)		71. Divisibility rule of 71 example
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70. Divisibility rule of 70 example


1. Check whether 18620 is divisible by 70 or not?

Solution:
Divisibility rule of 70 :
If number is divisible by 2,5 and 7, then number is also divisible by 70.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 18620 is 0, which is divisible by 2.

`:.` 18620 is divisible by 2.


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

Last digit of 18620 is 0, which is divisible by 5.

`:.` 18620 is divisible by 5.


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)

`1862color{red}{0}=>1862 - color{red}{0} xx 2 = 1862 = 1862`

`186color{red}{2}=>186 - color{red}{2} xx 2 = 186 -4 = 182`

`18color{red}{2}=>18 - color{red}{2} xx 2 = 18 -4 = 14`

Here 14 is divisible by 7.
`:.` 18620 is divisible by 7.


18620 is divisible by 2,5 and 7.

`:.` 18620 is divisible by 70.


2. Check whether 22890 is divisible by 70 or not?

Solution:
Divisibility rule of 70 :
If number is divisible by 2,5 and 7, then number is also divisible by 70.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 22890 is 0, which is divisible by 2.

`:.` 22890 is divisible by 2.


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

Last digit of 22890 is 0, which is divisible by 5.

`:.` 22890 is divisible by 5.


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)

`2289color{red}{0}=>2289 - color{red}{0} xx 2 = 2289 = 2289`

`228color{red}{9}=>228 - color{red}{9} xx 2 = 228 -18 = 210`

`21color{red}{0}=>21 - color{red}{0} xx 2 = 21 = 21`

Here 21 is divisible by 7.
`:.` 22890 is divisible by 7.


22890 is divisible by 2,5 and 7.

`:.` 22890 is divisible by 70.


3. Check whether 24990 is divisible by 70 or not?

Solution:
Divisibility rule of 70 :
If number is divisible by 2,5 and 7, then number is also divisible by 70.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 24990 is 0, which is divisible by 2.

`:.` 24990 is divisible by 2.


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

Last digit of 24990 is 0, which is divisible by 5.

`:.` 24990 is divisible by 5.


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)

`2499color{red}{0}=>2499 - color{red}{0} xx 2 = 2499 = 2499`

`249color{red}{9}=>249 - color{red}{9} xx 2 = 249 -18 = 231`

`23color{red}{1}=>23 - color{red}{1} xx 2 = 23 -2 = 21`

Here 21 is divisible by 7.
`:.` 24990 is divisible by 7.


24990 is divisible by 2,5 and 7.

`:.` 24990 is divisible by 70.


4. Check whether 18976 is divisible by 70 or not?

Solution:
Divisibility rule of 70 :
If number is divisible by 2,5 and 7, then number is also divisible by 70.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 18976 is 6, which is divisible by 2.

`:.` 18976 is divisible by 2.


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

Last digit of 18976 is 6, which is not divisible by 5.

`:.` 18976 is not divisible by 5.


Hence 18976 is also not divisible by 70.

5. Check whether 22539 is divisible by 70 or not?

Solution:
Divisibility rule of 70 :
If number is divisible by 2,5 and 7, then number is also divisible by 70.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 22539 is 9, which is not divisible by 2.

`:.` 22539 is not divisible by 2.


Hence 22539 is also not divisible by 70.

6. Check whether 27506 is divisible by 70 or not?

Solution:
Divisibility rule of 70 :
If number is divisible by 2,5 and 7, then number is also divisible by 70.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 27506 is 6, which is divisible by 2.

`:.` 27506 is divisible by 2.


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

Last digit of 27506 is 6, which is not divisible by 5.

`:.` 27506 is not divisible by 5.


Hence 27506 is also not divisible by 70.


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