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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