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# 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.**