stampinsan wrote:
Will I have to use Two-Factor every time I sign into Apple.com?
You'll need to use it every time you log into iCloud.com from a browser that you haven't trusted before. My experience is also that, even if you've trusted the browser but haven't used it in a while (I use Chrome on my Mac only every couple of months), you may have to use 2FA again.
You'll need to use it when you set up a new device.
It just seems pointless when I am signing into Apple on my iMac I have to enter a six digit cod sent to that very same computer in addition to my account name and password.
The thing that can be hard to get your head around is that 2FA is not intended to protect devices. It's purpose is to protect your Apple ID. Your device is, as you've noted, protected by your passcode.
I guess I will have to find some info and explanations about 2FA before it drives me crazy.
I really suggest you read Apple's support article:
Two-factor authentication for Apple ID - Apple Support
Pay particular attention to the section on managing your trusted devices. I highly recommend you set up a landline or Google Voice number or family member's phone number as a trusted number.
Please come back with additional questions as they arise.