2010 Pascal Problem 14

The numbered net shown is folded to form a cube. What is the product of the numbers on the four faces sharing an edge with the face numbered 1?

\textbf{(A)}\ 120\quad \textbf{(B)}\ 144\quad \textbf{(C)}\ 180\quad \textbf{(D)}\ 240\quad \textbf{(E)}\ 360

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.