How many multiplication problems equal 432?

Answer 1

An infinite number.

Let X be any positive real number less than 20.78 = sqrt(432). There are an infinite number of values that x can take.

Let Y = 432/X. Then Y > sqrt(432) so that all the Ys are different from the Xs.

This means that each pair (X,Y) is different so you cannot claim double counting.

Then XY = 432

In fact, X can also take any negative value greater than -20.78 and then Y, similarly defined, will be a negative number less than -20.78 and again XY = 432.