Can someone give a way to determine, for any property, if it is a state function or not. I feel like there's an easier way to think about this rather than to just memorize, for every property, if it's a state function or not.

And, specifically, with work, isn't it W = Force * displacement? So if I take some crazy path but end up back where I started, the work should be 0, so doesn't that mean it's a state function?