Account > privacy settings. From there select "view settings" under "basic directory information." From there you can change the settings to "friends only" for who can search for you on Facebook. This will not make you completely invisible but it will cut down on who can search for you.
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Account > privacy settings. From there select "view settings" under "basic directory information." From there you can change the settings to "friends only" for who can search for you on Facebook. This will not make you completely invisible but it will cut down on who can search for you.