# Four-by-four table with equal row and column products

Is there a way of filling a 4×4 table with 16 distinct integers from 1, 2, ..., 100 such that the products of the numbers in every row and in every column are all equal to each other?

• The largest prime number that could be in the table is 23. – Tony Ruth Feb 27 '16 at 18:35

$$\begin{array}{ a b c d } 4*7 & 1*6 & 3*1 & 2*5 & \\ 3*5 & 2*1 & 4*6 & 1*7 &\\ 1*1 & 4*5 & 2*7 & 3*6 &\\ 2*6 & 3*7 & 1*5 & 4*1 &\\ \end{array}$$