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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]

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]

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

45 = 5 × 9
1, 5 are factors of 5
1, 3, 9 are factors of 9
Hence, 5 and 9 are co-prime numbers
The last digit of 25110 is 0.
Hence, it is divisible by 5 Sum of digits 25110
2 +5 +1 +1 +0
=9
Since, the sum of digits of 25110 is divisible by 9.
Hence, 25110 is divisible by 9
Since the number is divisible by both 5 and 9
Therefore 25110 is divisible by 45​

Thanks

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