2023 AMC 12B Problem 23

When n standard six-sided dice are rolled, the product of the numbers rolled can be any of 936 possible values. What is n?

\textbf{(A)} 11 \qquad \textbf{(B)} 6 \qquad \textbf{(C)} 8 \qquad \textbf{(D)} 10 \qquad \textbf{(E)} 9

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.