CAYLEY 1997 Problem 11

In the chart, the products of the numbers represented by the letters in each of the rows and columns are given. For example, xy=6 and xz=12. If x,y,z, and w are integers, what is the value of xw?

\begin{array}{|c|c||c|} \hline x & y & 6 \\ \hline z & w & 50 \\ \hline \hline 12 & 25 & \\ \hline \end{array}

Answer Choices
A. 150
B. 300
C. 31
D. 75
E. 30