Search Results & Google
By default, all adults can be found in search results within Facebook and v ia search engines such as Google. I f your basic privacy settings are set to "Friends Only" you’re already covered; if not, there’s a simple fix.
Remove Yourself From Facebook Search
Go to Account > Privacy Settings, then choose "View Settings" from "Basic Directory Information".
Under "Search for me on Facebook", choose "Friends Only" to be as secure as possible or "Friends of Friends" if you prefer.
Either of these options will remove you from public Facebook search results, as w ell as Google search results.
"Facebook Tips: Remove Yourself From Facebook Search"