The Product ID is NOT the Product Key.
The Product Key should be on a Certificate of Authenticity (COA) sticker on the underside of the laptop and is the one you need to use if you clean install Windows and consists of five groups of five characters, which is a mix of letters and numbers, e.g. AAA12-BB4BB-CC73C-DDD1D-2EEEE.
The Product ID tells Microsoft whether you have a retail version of Windows or an OEM version and is in the following formats:
Generally speaking, a retail version of Windows gets you support from Microsoft, whereas support for an OEM version should be provided by the manufacturer or system builder.
For recovery disc creation, check here: http://h10025.www1.hp.com/ewfrf/wc/d...n&cc=us&dlc=en
or use the link that was given to you in Brink's reply in post #2.