Scam
We keep getting phone calls to our cell phones telling us it is Apple and our Apple account has been compromised. We keep hanging up. is this a scam?
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They are indeed scams.
Apple does not make such calls.
All such calls are scams from criminals attempting to steal your personal and financial information. The callers will often use number spoofing to pretend they are calling from a legitimate business. The correct course of action is to ignore the calls or hang up on them, repeatedly if needed.
Avoid phishing emails, fake 'virus' alerts, phony support calls, and other scams - Apple Support