Open Privacy Checkup → “How people can find you”
It lists look-up by phone number and by email address separately.
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Finding you
Can people find me on Facebook by my phone number or email?
Only if you allow it. Privacy Checkup lets you choose <b>who can look you up</b> using the phone number or email address on your account — you can narrow it to Friends.
How to do it
Set each to Friends
That stops strangers and search engines matching you by contact details.
Decide if search engines can link to your profile
Turn off “link to your profile outside Facebook” if you don’t want your profile in web search.
Worth knowing
Changing “who can look you up” doesn’t delete your number or email from Facebook — it only limits who can <i>search</i> by them. Remove the details from your profile separately if you don’t want them shown.
Questions
If I hide my number, can friends still message me?
Yes. Hiding look-up only affects search; your friends and messaging are unchanged.
Does turning off search-engine linking remove old Google results?
It stops new linking; existing search-engine results update on the engine’s own schedule, not instantly.
Sources
Facts are checked against these Facebook Help pages. Items marked “not yet verified” are confirmed before this guide is published.