Apple ID
My iTunes shows the wrong Apple ID user name. How do I change it?
Can you sign out/in?
Is this happening when updating apps? A request for another Apple ID password is often caused by updates to apps/purchases that were made when using the other ID. Those purchases are tied to the other ID and can't be transferred. One option is to delete the apps/purchases made by the other ID and download them using the new ID if desired. If necessary, check your purchases history to see which apps/purchases weren’t made by the current ID.