Question 12Let $p,$ $q$ and $r$ be distinct prime numbers, where $1$ is not considered a prime. Which of the following is the smallest positive perfect cube having $n=pq^2r^4$ as a divisor?$p^8q^8r^8$$(pq^2r^2)^3$$(p^2q^2r^2)^3$$(pqr^2)^3$$4p^3q^3r^3$