At this point, Facebook data breaches have been infused into the new normal, which is not a good thing. There are a couple of things on the internet you can use, that will help you identify if you are part of the 533 Million people that have been affected by this breach.
One well-known site that tracks data breaches is Have I Been Pwned. Just follow the link to the site and put in your email address. You will find out not only if you’ve been part of the Facebook breach, but also any other breaches in which your data may have been compromised.
The use of mobile phone numbers to check if you are part of the data breach is deemed as too risky, at this point, sticking with your email address is your best bet.
If you do find out that your data has been compromised? Some of the steps you can take are to change the passwords of compromised sites, use a password manager so that you can create and track unique passwords for each site (so that if one is compromised, it will not affect any others), use two-factor authentication for additional security, and stay alert for news of any other breaches.