Test the divisibility of the following numbers by the pair of co-primes 9 and 4.56340 by 36.

Given :

The given co-primes are 4 and 9.

The given terms are 56340 and 36.

To do :

We have to test the divisibility of the given numbers by the given co-primes.

Solution :

56340 by 36

4 and 9 are co-prime factors of 36

$36 = 4 \times 9$. Therefore, 4,9 is a suitable pair.

1. Check divisibility by 4

We know that,

If last two digits of a number are divisible by 4 then the number is divisible by 4.

In 56340, last two digits are 40 which are divisible by 4. So, the number 56340 is also divisible by 4.

2. Check divisibility by 9.

We know that,

If the sum of all digits of a number is divisible by 9 then the number is divisible by 9.

In 56340, the sum of the digits 5,6,3,4 and 0 is,

$5+6+3+4+0=18$

18 is divisible by 9. So, the number 56340 is also divisible by 9.

Therefore, the number 56340 is divisible by 36.