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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 14 example ( Enter your problem )
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  2. Divisibility rule of 2 example
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13. Divisibility rule of 13 example
(Previous example)		15. Divisibility rule of 15 example
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14. Divisibility rule of 14 example


1. Check whether 3850 is divisible by 14 or not?

Solution:
Divisibility rule of 14 :
If number is divisible by 2 and 7, then number is also divisible by 14.

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

Last digit of 3850 is 0, which is divisible by 2.

`:.` 3850 is divisible by 2.


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)

`385color{red}{0}=>385 - color{red}{0} xx 2 = 385 = 385`

`38color{red}{5}=>38 - color{red}{5} xx 2 = 38 -10 = 28`

Here 28 is divisible by 7.
`:.` 3850 is divisible by 7.


3850 is divisible by 2 and 7.

`:.` 3850 is divisible by 14.


2. Check whether 4284 is divisible by 14 or not?

Solution:
Divisibility rule of 14 :
If number is divisible by 2 and 7, then number is also divisible by 14.

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

Last digit of 4284 is 4, which is divisible by 2.

`:.` 4284 is divisible by 2.


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)

`428color{red}{4}=>428 - color{red}{4} xx 2 = 428 -8 = 420`

`42color{red}{0}=>42 - color{red}{0} xx 2 = 42 = 42`

Here 42 is divisible by 7.
`:.` 4284 is divisible by 7.


4284 is divisible by 2 and 7.

`:.` 4284 is divisible by 14.


3. Check whether 4984 is divisible by 14 or not?

Solution:
Divisibility rule of 14 :
If number is divisible by 2 and 7, then number is also divisible by 14.

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

Last digit of 4984 is 4, which is divisible by 2.

`:.` 4984 is divisible by 2.


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)

`498color{red}{4}=>498 - color{red}{4} xx 2 = 498 -8 = 490`

`49color{red}{0}=>49 - color{red}{0} xx 2 = 49 = 49`

Here 49 is divisible by 7.
`:.` 4984 is divisible by 7.


4984 is divisible by 2 and 7.

`:.` 4984 is divisible by 14.


4. Check whether 4034 is divisible by 14 or not?

Solution:
Divisibility rule of 14 :
If number is divisible by 2 and 7, then number is also divisible by 14.

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

Last digit of 4034 is 4, which is divisible by 2.

`:.` 4034 is divisible by 2.


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)

`403color{red}{4}=>403 - color{red}{4} xx 2 = 403 -8 = 395`

`39color{red}{5}=>39 - color{red}{5} xx 2 = 39 -10 = 29`

Here 29 is not divisible by 7.
`:.` 4034 is not divisible by 7.


Hence 4034 is also not divisible by 14.

5. Check whether 4485 is divisible by 14 or not?

Solution:
Divisibility rule of 14 :
If number is divisible by 2 and 7, then number is also divisible by 14.

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

Last digit of 4485 is 5, which is not divisible by 2.

`:.` 4485 is not divisible by 2.


Hence 4485 is also not divisible by 14.

6. Check whether 5428 is divisible by 14 or not?

Solution:
Divisibility rule of 14 :
If number is divisible by 2 and 7, then number is also divisible by 14.

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

Last digit of 5428 is 8, which is divisible by 2.

`:.` 5428 is divisible by 2.


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)

`542color{red}{8}=>542 - color{red}{8} xx 2 = 542 -16 = 526`

`52color{red}{6}=>52 - color{red}{6} xx 2 = 52 -12 = 40`

Here 40 is not divisible by 7.
`:.` 5428 is not divisible by 7.


Hence 5428 is also not divisible by 14.



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