We have $\displaystyle E=(\mathbb{E}, +,*,0)$ where $\displaystyle \mathbb{E}$ is the set of even natural numbers. I know all numbers in this set can be factored into a product of $\displaystyle \mathbb{E}$-primes and that it is not always unique.

I'm trying to find the least even number with three factorizations and the least even number that has four factorizations.