If you own a legitimate copy of the game, there are official ways to find and manage your serial number: :

A serial number is a unique code that unlocks the full potential of your game, allowing you to access all features, including online multiplayer, leaderboards, and game updates. Without a valid serial number, you'll be limited to a restricted version of the game, which can be frustrating and limiting.

Need_For_Speed_Hot_Pursuit_2010_Pc_Cd_Key.rar Size: Usually between 112 KB and 1.2 MB (Suspiciously small) Source: A forgotten forum thread from 2012, a sketchy Megaupload link, or a torrent with 0 seeders and 1 leecher (you).

Here is the news that renders that old keyword obsolete: exists.