Create a set of prime factor numbers given a set of tuples

Given a set $Omega$ of tuples, for example,

Tuples[{Range[0, 4], Range[0, 3], Range[0, 2]}]

how can I create all numbers on the form $p_1^{t_1}p_2^{t_2}p_3^{t_3}$ where $p_i$ are (prime) numbers and $(t_1,t_2,t_3)inOmega$? (This will give all possible dividers of $p_1^4p_2^3p_3^2$.)

It could be done with a basic For loop and splitting the elements into parts etc. but there must be a shorter, better and (much) smarter way to do it. TIA.