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^2q^2

E. p^3q

Question

Mathematics

Kadyn Bowen

26 December, 14:58

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^2q^2

E. p^3q

+1

Answers (1)

Know the Answer?

Judith · Answer 1

D) p^2*q^2

Step-by-step 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

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^2B. q^2C. pqD. p^2*q^2E. p^3*q

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^2q^2

E. p^3q