Agree with Tyro. Freeze them whole. You can then use them for jams, jellies, or sauces. My experience so far is they all turn pretty mushy. The less ripe, firmer, ones will also hold up a little better to freezing than the super ripe soft ones. If you want to eat one as is, then eat it before they completely thaw. My daughter really likes these natural "figsicles".
You can also dry them, and then freeze the dried ones.