A procedure exists for making your Facebook profile invisible to searches and you can access it through the following steps:
1. Open Settings through the down arrow at the top right corner.
2. You will find Privacy under the left column arrangements.
3. In How People Find and Contact You, select the option that lets you decide who can use your provided email or phone number for lookup. to Friends or Only Me.
4. Select No from the drop-down menu to disable external search engines linking to your Facebook profile.
Protecting your profile information becomes possible by making this change.
