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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 94 example ( Enter your problem )
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93. Divisibility rule of 93 example
(Previous example)		95. Divisibility rule of 95 example
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94. Divisibility rule of 94 example


1. Check whether 27448 is divisible by 94 or not?

Solution:
Divisibility rule of 94 :
If number is divisible by 2 and 47, then number is also divisible by 94.

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

Last digit of 27448 is 8, which is divisible by 2.

`:.` 27448 is divisible by 2.


Divisibility rule of 47 :
14 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 47, then number is also divisible by 47.
(Apply this rule to the answer again if necessary)

`2744color{red}{8}=>2744 - color{red}{8} xx 14 = 2744 -112 = 2632`

`263color{red}{2}=>263 - color{red}{2} xx 14 = 263 -28 = 235`

`23color{red}{5}=>23 - color{red}{5} xx 14 = 23 -70 = -47`

Here -47 is divisible by 47.
`:.` 27448 is divisible by 47.


27448 is divisible by 2 and 47.

`:.` 27448 is divisible by 94.


2. Check whether 32336 is divisible by 94 or not?

Solution:
Divisibility rule of 94 :
If number is divisible by 2 and 47, then number is also divisible by 94.

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

Last digit of 32336 is 6, which is divisible by 2.

`:.` 32336 is divisible by 2.


Divisibility rule of 47 :
14 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 47, then number is also divisible by 47.
(Apply this rule to the answer again if necessary)

`3233color{red}{6}=>3233 - color{red}{6} xx 14 = 3233 -84 = 3149`

`314color{red}{9}=>314 - color{red}{9} xx 14 = 314 -126 = 188`

`18color{red}{8}=>18 - color{red}{8} xx 14 = 18 -112 = -94`

Here -94 is divisible by 47.
`:.` 32336 is divisible by 47.


32336 is divisible by 2 and 47.

`:.` 32336 is divisible by 94.


3. Check whether 33464 is divisible by 94 or not?

Solution:
Divisibility rule of 94 :
If number is divisible by 2 and 47, then number is also divisible by 94.

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

Last digit of 33464 is 4, which is divisible by 2.

`:.` 33464 is divisible by 2.


Divisibility rule of 47 :
14 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 47, then number is also divisible by 47.
(Apply this rule to the answer again if necessary)

`3346color{red}{4}=>3346 - color{red}{4} xx 14 = 3346 -56 = 3290`

`329color{red}{0}=>329 - color{red}{0} xx 14 = 329 = 329`

`32color{red}{9}=>32 - color{red}{9} xx 14 = 32 -126 = -94`

Here -94 is divisible by 47.
`:.` 33464 is divisible by 47.


33464 is divisible by 2 and 47.

`:.` 33464 is divisible by 94.


4. Check whether 26123 is divisible by 94 or not?

Solution:
Divisibility rule of 94 :
If number is divisible by 2 and 47, then number is also divisible by 94.

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

Last digit of 26123 is 3, which is not divisible by 2.

`:.` 26123 is not divisible by 2.


Hence 26123 is also not divisible by 94.

5. Check whether 28794 is divisible by 94 or not?

Solution:
Divisibility rule of 94 :
If number is divisible by 2 and 47, then number is also divisible by 94.

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

Last digit of 28794 is 4, which is divisible by 2.

`:.` 28794 is divisible by 2.


Divisibility rule of 47 :
14 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 47, then number is also divisible by 47.
(Apply this rule to the answer again if necessary)

`2879color{red}{4}=>2879 - color{red}{4} xx 14 = 2879 -56 = 2823`

`282color{red}{3}=>282 - color{red}{3} xx 14 = 282 -42 = 240`

`24color{red}{0}=>24 - color{red}{0} xx 14 = 24 = 24`

Here 24 is not divisible by 47.
`:.` 28794 is not divisible by 47.


Hence 28794 is also not divisible by 94.

6. Check whether 33849 is divisible by 94 or not?

Solution:
Divisibility rule of 94 :
If number is divisible by 2 and 47, then number is also divisible by 94.

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

Last digit of 33849 is 9, which is not divisible by 2.

`:.` 33849 is not divisible by 2.


Hence 33849 is also not divisible by 94.



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