Every user would like to set their Facebook privacy in a way that is conducive to the reason they are on Facebook. Some users would not want to appear on search engines while other would want to be found on search engines like Google. It all depends on the reason why an individual has joined Facebook. For some it is just to share photos with family and friends which other are here to promote themselves and their small companies. Facebook allows you to control the way you appear on search results both within Facebook and on the web.
To set these privacy controls
1. Login to Facebook
2. Click on the Cog icon and choose Privacy Settings
3. Click on Privacy found on the left
4. You now have the options to set - who can see my stuff, who can see my future posts and limit the audience of past posts.
Under limit the audience of past posts -- you get to set the privacy options for posts you have been tagged in, shared with friends and shared with friends of friends.
Who can contact me -- set who can contact you on Facebook. So if you don't want people who are not friends of friends to contact you. Set the option here.
You can also set the option to not let search engines link to your Facebook profile. If you want to more about this setting -- please check our post here.
Video below on how to stop search engines from linking to your Facebook profile
http://www.youtube.com/watch?v=foH2i4HN5WQ
http://www.youtube.com/watch?v=foH2i4HN5WQ