Q. 104.0( 27 Votes )

Determine if 25110 is divisible by 45.

Answer :

According to the divisibility rule of 45 if the last digit of a number is divisible by 5 and the sum of the digits is divisible by 9, then the number is divisible by 45.


45 = 5 × 9


Factors of 5 = 1 and 5


Factors of 9 = 1, 3 and 9


Therefore, 5 and 9 are co-prime numbers,


As the last digit of the number is 0 so it is divisible by 5.


Sum of the all digits = 2+5+1+1+0 = 9


As the sum of the digits is divisible by 9 so this number is also divisible by 9.


So, the number is divisible by 5 and 9, it is also divisible by 45.


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