When you hang out with people you "associate" with them. People you work with are your "associates". In a multiplication problem, individual factors can associate with whatever other factor you want them to. This is called the (you fill in the blank) property of multiplication.
When you go to school or to work, you commute. That is you move from place to place. In multiplication problems you can move the factors around wherever you like, that is to say the factors can commute from place to place. This is called the (you fill in the blank) property of multiplication.
My calculator said it, I believe it, that settles it