Use direct proof to prove "The product of any two even integers is a multiple of 4."
definition of even is n=2k
The Attempt at a Solution
My proof is going in circles/getting nowhere.
So far I have (shortened): By definition even n=2k, n=2j for some integer k
2k(2j) = 4kj = 4(kj) kj is an integer because k and j are integers
and the product of two integers is an integer
Not sure where to take it from there or if I even set the proof up correctly!