What should I do if I don’t want search engines to link to my profile?
If you don’t want search engines to link to your profile, you can adjust your Privacy Settings. To adjust your settings:
Click at the top right of any Facebook page and choose Settings
Click Privacy from the left column
Under the Who can look me up? section, click Do you want other search engines to link to your timeline?
Make your selection using the check box
Note: Information from your profile and some things you share can still appear in search engine results even if you select No. Public information may still appear in search results. This includes stuff you share with the audience set to Public, posts and comments on Pages and Public groups and posts in the Community Forum section of the Help Center.