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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 46 example ( Enter your problem )
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45. Divisibility rule of 45 example
(Previous example)		47. Divisibility rule of 47 example
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46. Divisibility rule of 46 example


1. Check whether 13708 is divisible by 46 or not?

Solution:
Divisibility rule of 46 :
If number is divisible by 2 and 23, then number is also divisible by 46.

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

Last digit of 13708 is 8, which is divisible by 2.

`:.` 13708 is divisible by 2.


Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)

`1370color{red}{8}=>1370 + color{red}{8} xx 7 = 1370 +56 = 1426`

`142color{red}{6}=>142 + color{red}{6} xx 7 = 142 +42 = 184`

`18color{red}{4}=>18 + color{red}{4} xx 7 = 18 +28 = 46`

Here 46 is divisible by 23.
`:.` 13708 is divisible by 23.


13708 is divisible by 2 and 23.

`:.` 13708 is divisible by 46.


2. Check whether 14260 is divisible by 46 or not?

Solution:
Divisibility rule of 46 :
If number is divisible by 2 and 23, then number is also divisible by 46.

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

Last digit of 14260 is 0, which is divisible by 2.

`:.` 14260 is divisible by 2.


Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)

`1426color{red}{0}=>1426 + color{red}{0} xx 7 = 1426 = 1426`

`142color{red}{6}=>142 + color{red}{6} xx 7 = 142 +42 = 184`

`18color{red}{4}=>18 + color{red}{4} xx 7 = 18 +28 = 46`

Here 46 is divisible by 23.
`:.` 14260 is divisible by 23.


14260 is divisible by 2 and 23.

`:.` 14260 is divisible by 46.


3. Check whether 17480 is divisible by 46 or not?

Solution:
Divisibility rule of 46 :
If number is divisible by 2 and 23, then number is also divisible by 46.

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

Last digit of 17480 is 0, which is divisible by 2.

`:.` 17480 is divisible by 2.


Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)

`1748color{red}{0}=>1748 + color{red}{0} xx 7 = 1748 = 1748`

`174color{red}{8}=>174 + color{red}{8} xx 7 = 174 +56 = 230`

`23color{red}{0}=>23 + color{red}{0} xx 7 = 23 = 23`

Here 23 is divisible by 23.
`:.` 17480 is divisible by 23.


17480 is divisible by 2 and 23.

`:.` 17480 is divisible by 46.


4. Check whether 12581 is divisible by 46 or not?

Solution:
Divisibility rule of 46 :
If number is divisible by 2 and 23, then number is also divisible by 46.

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

Last digit of 12581 is 1, which is not divisible by 2.

`:.` 12581 is not divisible by 2.


Hence 12581 is also not divisible by 46.

5. Check whether 15562 is divisible by 46 or not?

Solution:
Divisibility rule of 46 :
If number is divisible by 2 and 23, then number is also divisible by 46.

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

Last digit of 15562 is 2, which is divisible by 2.

`:.` 15562 is divisible by 2.


Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)

`1556color{red}{2}=>1556 + color{red}{2} xx 7 = 1556 +14 = 1570`

`157color{red}{0}=>157 + color{red}{0} xx 7 = 157 = 157`

`15color{red}{7}=>15 + color{red}{7} xx 7 = 15 +49 = 64`

Here 64 is not divisible by 23.
`:.` 15562 is not divisible by 23.


Hence 15562 is also not divisible by 46.

6. Check whether 18261 is divisible by 46 or not?

Solution:
Divisibility rule of 46 :
If number is divisible by 2 and 23, then number is also divisible by 46.

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

Last digit of 18261 is 1, which is not divisible by 2.

`:.` 18261 is not divisible by 2.


Hence 18261 is also not divisible by 46.



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45. Divisibility rule of 45 example
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