Would be useful to understand when you say Facetime is asking for it - is it when you try and make a call or just randomly when you're in the middle of doing something else.
The general advice is to sign out of your apple id in settings and then trying signing back in as that can resync things and sometimes fix errant behaviour
I use face time about once a week sometimes less when I do I have to re-enter my password, my children have told me they cannot get through, the reason I have found is that my Face time account P/W is missing and I have to re-enter it.
I use face time about once a week sometimes less when I do I have to re-enter my password, my children have told me they cannot get through, the reason I have found is that my Face time account P/W is missing and I have to re-enter it.
When did this problem start happening?
Do you have other Apple Devices?
Do you use the same Apple ID on all devices and App Store purchases?
Have you recently changed your Apple ID password?