I have my contact number in my About area and the Facebook online search engine returns just my profile, so you know that's the ideal one.
Can You Search On Facebook By Phone Number
But here's a search I did by phone number for somebody I'm not linked to and who doesn't have their contact number in their public profile. (Sorry for the blurring-- to secure the innocent victim of my research.).
How to Hide Contact Information on Facebook.
1. Once once again go to your account, click the [Accounts] tab and select Personal privacy Settings link.
2. On the Privacy Settings page, scroll down and click Customize settings link (see picture. above).
3. On the Customize settings page scroll down to find Contact info section and it will show you all the contact details and whom you permit to see it.
4. Click on any one of the contact info. like mobile number and choose the type of individuals who can see/access it. If you wish to hide your contact number on facebook totally from everybody choose Customize. (see above).
5. In the next window under Make this visible to you can pick the option Only Me or the others.
Can You Search On Facebook By Phone Number, By choosing "Only Me" youre specifying that just you can see that contact details on your facebook profile, while the rest of the world will not see it at all or gain access to from their phone book page, unless you define particular people in the above action to see them.