When I enter my license key, it is not accepted and I get the following message...
"The license key is invalid. Reason: The license key has an invalid product number."
The key you are entering was not made for Toad for Data Analysts. Most likely you are entering a Toad for Oracle key. If that is the case, enter the key in Toad for Oracle and then launch Toad for Data Analysts. Toad for Data Analysts will read the key in Toad for Oracle and allow you to use it.
If you enter the key in Toad for Oracle and you are still prompted for a key when launching Toad for Data Analysts, un-install and re-install both products.