Go into Facebook, Profile, People, unsync contacts.
Quickie..... :
Go to the gear icon on your top right corner, click on it and it will lead you to your privacy settings, at the sections of:
(1) "Who can contact me?" change the first one to "friends of friends" (that is as private as you can go) and the next one to "strict filtering" (it is really up to you)
(2) "Who can look me up?" change the first one to "friends of friends" (once again, that is as private as you can go) and the next one to OFF (so that people can't find you on google, Bing etc.)
Better still
Ask yourself if you really need Facebook. If the answer is yes, delete all traces of your account and then create a dummy account. Explain to your friends that you had to do it to prevent hacking attempts. Set every privacy setting to maximum, don't include any photos or personal details. Just use it to sign in to social media that demand a facebook address (but have better -- or at least more accountable and controllable -- security than facebook).