Determine if 25110 is divisible by 45.[Hint: 5 and 9 are co-prime numb

1.	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.]
Answer» The prime factorization of 45 = 5 x 9 25110 is divisible by 5 as ‘0’ is at its unit place. 25110 is divisible by 9 as sum of digits is divisible by 9. Therefore, the number must be divisible by 5 x 9 = 45

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.]

Answer»

The prime factorization of 45 = 5 x 9

25110 is divisible by 5 as ‘0’ is at its unit place.

25110 is divisible by 9 as sum of digits is divisible by 9.

Therefore, the number must be divisible by 5 x 9 = 45