# Determine if 25110 is divisible by 45.

[Hint : 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9 ].

To do:

We have to find whether 25110 is divisible by 45.

Solution:

Factors of 5 are 1 and 5.

Factors of 9 are 1, 3 and 9.

This implies,

5 and 9 are co-prime numbers.

Therefore, 25110 is divisible by 45 if it is divisible by 5 and 9.

The last digit of 25110 is 0.

This implies,

25110 is divisible by 5

Sum of digits 25110 $=2 + 5 + 1 + 1 + 0$

$= 9$

The sum of digits of 25110 is divisible by 9.

This implies,

25110 is divisible by 9

25110 is divisible by both 5 and 9.

Therefore, 25110 is divisible by 45.

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