On the Mobile App:
- Open the Facebook app
- Click to the lower right on iPhone or top-right on android
- Scroll down & click Account settings
- Click Security & login
- Tap change password
- Then, enter your current password in the top option
- Type a new password in the next field
- Then, re-type the new password in the bottom field
- Click save changes.
Read More: Change Your Facebook Password on Mobile App
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