How to test divisibility


If one number is divided by another and we get remainder zero; that means first number is

completely divisible by another and another number is multiple of first.

We shall take one example.

Have a look-

When the number 24 is divided by 6, the quotient is 4 and remainder is 0. That is, the number

24 is completely divisible by 6.

6 div




 24 is a multiple of 6                                                                     

 and 6 is a factor of 24

If 24 is divided by 5, the quotient is 4 and remainder is 4 that is 24 is not completely divisible by 5

therefore 5 is not a factor of 24 and 24 is not multiple of 5.

Have a look-

5 div




24, 30, 36, 42, 48, 54, 60 are multiples of 6 that is these numbers are completely divisible by 6.

20, 25, 30, 35, 40, 45, 50 are multiples of 5 so to find out which number divides the given

number completely without leaving a remainder that is the divisibility.

To find out the divisibility there are some methods to test without actually carrying out the

division, is called Test of Divisibility.


Go over-

Test for Divisibility by 2