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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 95 example ( Enter your problem )
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94. Divisibility rule of 94 example
(Previous example)		96. Divisibility rule of 96 example
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95. Divisibility rule of 95 example


1. Check whether 28120 is divisible by 95 or not?

Solution:
Divisibility rule of 95 :
If number is divisible by 5 and 19, then number is also divisible by 95.

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

Last digit of 28120 is 0, which is divisible by 5.

`:.` 28120 is divisible by 5.


Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`2812color{red}{0}=>2812 + color{red}{0} xx 2 = 2812 = 2812`

`281color{red}{2}=>281 + color{red}{2} xx 2 = 281 +4 = 285`

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

Here 38 is divisible by 19.
`:.` 28120 is divisible by 19.


28120 is divisible by 5 and 19.

`:.` 28120 is divisible by 95.


2. Check whether 31540 is divisible by 95 or not?

Solution:
Divisibility rule of 95 :
If number is divisible by 5 and 19, then number is also divisible by 95.

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

Last digit of 31540 is 0, which is divisible by 5.

`:.` 31540 is divisible by 5.


Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`3154color{red}{0}=>3154 + color{red}{0} xx 2 = 3154 = 3154`

`315color{red}{4}=>315 + color{red}{4} xx 2 = 315 +8 = 323`

`32color{red}{3}=>32 + color{red}{3} xx 2 = 32 +6 = 38`

Here 38 is divisible by 19.
`:.` 31540 is divisible by 19.


31540 is divisible by 5 and 19.

`:.` 31540 is divisible by 95.


3. Check whether 35435 is divisible by 95 or not?

Solution:
Divisibility rule of 95 :
If number is divisible by 5 and 19, then number is also divisible by 95.

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

Last digit of 35435 is 5, which is divisible by 5.

`:.` 35435 is divisible by 5.


Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`3543color{red}{5}=>3543 + color{red}{5} xx 2 = 3543 +10 = 3553`

`355color{red}{3}=>355 + color{red}{3} xx 2 = 355 +6 = 361`

`36color{red}{1}=>36 + color{red}{1} xx 2 = 36 +2 = 38`

Here 38 is divisible by 19.
`:.` 35435 is divisible by 19.


35435 is divisible by 5 and 19.

`:.` 35435 is divisible by 95.


4. Check whether 25669 is divisible by 95 or not?

Solution:
Divisibility rule of 95 :
If number is divisible by 5 and 19, then number is also divisible by 95.

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

Last digit of 25669 is 9, which is not divisible by 5.

`:.` 25669 is not divisible by 5.


Hence 25669 is also not divisible by 95.

5. Check whether 32710 is divisible by 95 or not?

Solution:
Divisibility rule of 95 :
If number is divisible by 5 and 19, then number is also divisible by 95.

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

Last digit of 32710 is 0, which is divisible by 5.

`:.` 32710 is divisible by 5.


Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`3271color{red}{0}=>3271 + color{red}{0} xx 2 = 3271 = 3271`

`327color{red}{1}=>327 + color{red}{1} xx 2 = 327 +2 = 329`

`32color{red}{9}=>32 + color{red}{9} xx 2 = 32 +18 = 50`

Here 50 is not divisible by 19.
`:.` 32710 is not divisible by 19.


Hence 32710 is also not divisible by 95.

6. Check whether 35706 is divisible by 95 or not?

Solution:
Divisibility rule of 95 :
If number is divisible by 5 and 19, then number is also divisible by 95.

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

Last digit of 35706 is 6, which is not divisible by 5.

`:.` 35706 is not divisible by 5.


Hence 35706 is also not divisible by 95.



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