Question

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Answer 1

Answer:

We know that 45 = 9 × 5 where 9 and 5 are co-prime numbers. Also, 9 and 5 are factors of 45. Hence, (1) If a number is divisible by 5 and 9, the number will be divisible by their product 45 also.

Answer 2

Answer:

Prime factorization of a number means to express the number as the product of prime factors.

45 = 3 × 3 × 5

So, 45 =  5 × 9

Let's check if 25110 is divisible by 5

Since, 25110 has 0 as its unit digit therefore, 25110 is divisible by 5

(If a number has 0 or 5 as it's unit digit the, the number is divisible by 5)

Now, let's check if 25110 is divisible by 9

Let's find the sum of the digits

2 + 5 + 1 + 1 + 0 = 9

Since, 9 is divisible by 9

Therefore, 25110 is also divisible by 9

(If the sum of all the digits of a given number is a multiple of 9, the given number is also a multiple of 9)

Since, 25110 is divisible by both 5 and, it is divisible by 45

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