  Erd\H{o}s first showed that the number of positive integers up to $x$ which
can be written as a product of two number less than $\sqrt{x}$ has zero
density. Ford then found the correct order of growth of the set of all these
integers. We will use the tools developed by Ford to answer the analogous
question in the function field setting. Finally, we will use a classical result
relating factorization of polynomials to factorization of permutations to
recover a result of Eberhard, Ford and Green of an analogous multiplication
table problem for permutations.
