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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 60 example ( Enter your problem )
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59. Divisibility rule of 59 example
(Previous example)		61. Divisibility rule of 61 example
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60. Divisibility rule of 60 example


1. Check whether 15300 is divisible by 60 or not?

Solution:
Divisibility rule of 60 :
If number is divisible by 4,3 and 5, then number is also divisible by 60.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 15300 is 0, which is divisible by 4.

`:.` 15300 is divisible by 4.


Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 15300 is `1+5+3+0+0=9`, which is divisible by 3.


`:.` 15300 is divisible by 3.


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

Last digit of 15300 is 0, which is divisible by 5.

`:.` 15300 is divisible by 5.


15300 is divisible by 4,3 and 5.

`:.` 15300 is divisible by 60.


2. Check whether 19680 is divisible by 60 or not?

Solution:
Divisibility rule of 60 :
If number is divisible by 4,3 and 5, then number is also divisible by 60.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 19680 is 80, which is divisible by 4.

`:.` 19680 is divisible by 4.


Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 19680 is `1+9+6+8+0=24`, which is divisible by 3.


`:.` 19680 is divisible by 3.


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

Last digit of 19680 is 0, which is divisible by 5.

`:.` 19680 is divisible by 5.


19680 is divisible by 4,3 and 5.

`:.` 19680 is divisible by 60.


3. Check whether 21060 is divisible by 60 or not?

Solution:
Divisibility rule of 60 :
If number is divisible by 4,3 and 5, then number is also divisible by 60.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 21060 is 60, which is divisible by 4.

`:.` 21060 is divisible by 4.


Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 21060 is `2+1+0+6+0=9`, which is divisible by 3.


`:.` 21060 is divisible by 3.


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

Last digit of 21060 is 0, which is divisible by 5.

`:.` 21060 is divisible by 5.


21060 is divisible by 4,3 and 5.

`:.` 21060 is divisible by 60.


4. Check whether 17144 is divisible by 60 or not?

Solution:
Divisibility rule of 60 :
If number is divisible by 4,3 and 5, then number is also divisible by 60.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 17144 is 44, which is divisible by 4.

`:.` 17144 is divisible by 4.


Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 17144 is `1+7+1+4+4=17`, which is not divisible by 3.


`:.` 17144 is not divisible by 3.


Hence 17144 is also not divisible by 60.

5. Check whether 18200 is divisible by 60 or not?

Solution:
Divisibility rule of 60 :
If number is divisible by 4,3 and 5, then number is also divisible by 60.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 18200 is 0, which is divisible by 4.

`:.` 18200 is divisible by 4.


Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 18200 is `1+8+2+0+0=11`, which is not divisible by 3.


`:.` 18200 is not divisible by 3.


Hence 18200 is also not divisible by 60.

6. Check whether 22852 is divisible by 60 or not?

Solution:
Divisibility rule of 60 :
If number is divisible by 4,3 and 5, then number is also divisible by 60.

Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.

Last 2 digit of 22852 is 52, which is divisible by 4.

`:.` 22852 is divisible by 4.


Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 22852 is `2+2+8+5+2=19`, which is not divisible by 3.


`:.` 22852 is not divisible by 3.


Hence 22852 is also not divisible by 60.



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