Fill out a 3x3 square with 9 different positive integers such that the product of each row, column, and diagonal is equal to each other

Question

I have an idea, which is to put 2 in the middle and have the rest multiply up to an even number, but I can't seem to find an even number with that many factors.

Answer 1

Hint : Take a magic $3\times 3$-square and replace every entry $x$ by $2^x$