How can I recover my facebook password without email and mobile number?

On Mobile:

1. Open the Facebook app on your mobile.

2. Tap on the link "Need Help" below the email address and password fields.

3. In the menu, tap on "Forgot Password".

4. Search by your name if you don't know your phone number or email id.

5. Tap on "Search".

6. Tap on "This is Me " option. You have two option for recovery;

a. send code via email
b. send code via SMS

7. Tap "Continue" and it will prompt Facebook to email or text a code to you.

8. Retrieve your code.

9. Enter the six-digit code.

10. Enter "continue" and enter a new password. During so will submit your code, if it's correct, you will be taken to the new password creation page.

11. Tap "Continue". This will replace your password and you can log into the Facebook app or website with a new password.