Question

If n is a multiple of 5 and n= p2q, where p and q are prime numbers, which of the following must be a multiple of 25?

A. p^2
B. q^2
C. pq
D. p^2*q^2
E. p^3*q

Answer 1

D) p^2*q^2

Explanation:

n is a multiple of 5. This means n= 5x

n = p^2*q

25y = ???

Since n is a multiple of 5, p or q must be 5.

If the multiple must be ofc25, p^2 or q^2 must be divisible by 25.

Therefore the answer is D

25y = p^2*q^2