Why does my Apple ID not support two factor authentication

Some accounts aren't eligible for 2 Factor Authentication You can contact Apple ID Support for assistance.

Apple ID - Official Apple Support.    

Contact Apple for help with Apple ID account security - Apple Support.   (Link doesn’t always load)  

Get Support          Work through the screens to get a chat option. 

https://twitter.com/AppleSupport

See Availability of two-factor authentication for Apple ID https://support.apple.com/en-us/HT205075