frequent apple id verification and new apple id notification

I am getting frequent Apple ID verification requests on all of my devices. I just set up the two factor verification a few days ago from my iphone and now almost every time I unlock my phone or my husband unlocks his or my daughter unlocks hers we get a request for Apple ID Verification. Why?? I thought that the two factor verification would not do this.

Two factor verification ***** if I have to keep doing this on all of my devices every time I want to use the stupid thing?!?! We all have ipads, iphones and iwatches. it is happening on all of them all of the time.

I also just now, today, got a new message telling me "the passcode you use to unlock this iphone is used to access your apple ID, saved passwords, and other data stored in icloud when you sign in on a new device". Does this mean that Apple has chosen to change my Apple ID password on all of my other devices to my iPhone password?

This is stupid.

Is this why it is asking for verification all of the time? Did Apple choose to change my password on all other devices except mine?

HELP!!!!!