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]

Solution:

We will be using the concept of divisibility by 5 and 9 to solve this.

If a number is divisible by two co-prime numbers, it is also divisible by their product.

We know that 45 = 5 × 9

Here, 5 and 9 are co-prime numbers.

The condition for divisibility by 5: The unit's digit of the given number should be 0 or 5. Here we have 25110, the unit's digit is 0. So, it is divisible by 5.

The condition for divisibility by 9: Sum of the digits of a number should be a multiple of 9. For 25110, the sum of the digits is 2 + 5 + 1 + 1 + 0 = 9 which is divisible by 9.

So, the number 25110 is divisible by 5 and 9 both. Hence, it will also be divisible by their product 45.

Hence, the number 25110 is divisible by 45.

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.5 Question 10

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]

Summary:

Since 25110 is divisible by both 5 and 9, it is divisible by 45 also.

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