Many iCloud login prompts on other devices

Hello JustSomeOldGuy,

Being prompted my be expected behavior if you're making changes to your Apple ID, iCloud, or any subscriptions or features that relate to the two. However, you mentioned that you're being asked to log in for other devices as well. Again, this may be expected behavior. Do you have Two-factor authentication for Apple ID enabled for your Apple ID account? If so, this may be why you're being prompted to sign in or approve authorization for other devices that are linked to the same Apple ID.

About trusted phone numbers and trusted devices

With two-factor authentication, a trusted device or trusted phone number helps verify your identity when you sign in to a new device or browser.

What is a trusted phone number?

To use two-factor authentication, you need at least one trusted phone number on file where you can receive verification codes. If you have a phone number that isn't associated with your trusted device, consider verifying it as an additional trusted phone number. If your iPhone is your only trusted device and it's missing or damaged, you won't be able to receive verification codes required to access your account.

To see, add, or change your trusted phone numbers:

• On your iPhone, iPad, or iPod touch: Go to Settings > your name > Password & Security. Next to Trusted Phone Number, tap Edit.

• Choose Apple menu  > System Settings (or System Preferences), then click your name (or Apple ID). Click Password & Security, then add or remove a trusted phone number.

• Go to the Account Security section of appleid.apple.com.

What is a trusted device?

A trusted device is an iPhone, iPad, iPod touch, Apple Watch, or Mac that you've already signed in to using two-factor authentication. It's a device that we know is yours and that can be used to verify your identity by displaying a verification code from Apple when you sign in on a different device or browser.

We hope this information helps you out.

Cheers!