How mathematicians would define an even integer. If is an even integer, then we say that = 2, for some integer . This probably seems intimidating, but it is not as bad as it seems. Let's play a game: I say that 20 is even. That means you must find some integer that makes this a true statement: Can you find k? What if I say 22 is an even integer? Is 35 an even integer? How do you know? What about 0?