The product of two even numbers is always an even number.
Here is the proof:
We define an even number as a number of the form 2n for some integer n.
Now let 2n be one even number and 2m be another.
The product is (2n)(2m)=2(2mn) and of course 2mn is an integer since the integers are closed under multiplication. Hence, 2(2mn) is an even number.
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The product of two even numbers is always an even number. This is because an even number can be expressed as 2n, where n is an integer. When you multiply two even numbers (2n * 2m), you get 4nm, which is still divisible by 2 and therefore even.
Well, honey, when you multiply two even numbers together, you always get another even number. It's like a little even party where everyone's dressed in twos. So, the product of two even numbers will always be an even number, no ifs, ands, or buts about it.