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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 17 example ( Enter your problem )
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16. Divisibility rule of 16 example
(Previous example)		18. Divisibility rule of 18 example
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17. Divisibility rule of 17 example


1. Check whether 4335 is divisible by 17 or not?

Solution:
Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`433color{red}{5}=>433 - color{red}{5} xx 5 = 433 -25 = 408`

`40color{red}{8}=>40 - color{red}{8} xx 5 = 40 -40 = 0`

Here 0 is divisible by 17.
`:.` 4335 is divisible by 17.


2. Check whether 5117 is divisible by 17 or not?

Solution:
Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`511color{red}{7}=>511 - color{red}{7} xx 5 = 511 -35 = 476`

`47color{red}{6}=>47 - color{red}{6} xx 5 = 47 -30 = 17`

Here 17 is divisible by 17.
`:.` 5117 is divisible by 17.


3. Check whether 6222 is divisible by 17 or not?

Solution:
Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`622color{red}{2}=>622 - color{red}{2} xx 5 = 622 -10 = 612`

`61color{red}{2}=>61 - color{red}{2} xx 5 = 61 -10 = 51`

Here 51 is divisible by 17.
`:.` 6222 is divisible by 17.


4. Check whether 4359 is divisible by 17 or not?

Solution:
Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`435color{red}{9}=>435 - color{red}{9} xx 5 = 435 -45 = 390`

`39color{red}{0}=>39 - color{red}{0} xx 5 = 39 = 39`

Here 39 is not divisible by 17.
`:.` 4359 is not divisible by 17.


5. Check whether 5704 is divisible by 17 or not?

Solution:
Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`570color{red}{4}=>570 - color{red}{4} xx 5 = 570 -20 = 550`

`55color{red}{0}=>55 - color{red}{0} xx 5 = 55 = 55`

Here 55 is not divisible by 17.
`:.` 5704 is not divisible by 17.


6. Check whether 6750 is divisible by 17 or not?

Solution:
Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`675color{red}{0}=>675 - color{red}{0} xx 5 = 675 = 675`

`67color{red}{5}=>67 - color{red}{5} xx 5 = 67 -25 = 42`

Here 42 is not divisible by 17.
`:.` 6750 is not divisible by 17.




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