I restored my mac to factory settings, now mac states there is no OS X installed?

I restored my mac to factory settings to erase all data.
On restarting the mac, it prompts me to sign in with my Apple ID to install the operating system OS X Mountain lion.
When I sign in, it tells me that I have not purchased OS X Mountain lion.
When I purchased the mac the operating system was pre-installed, therefore I have never purchased the operating system through the App Store.
Therefore, I have no option to continue to turn the mac on.
How do I get around this problem as the operating system does not show up as a purchase?
Thank you in advance
Hannah

Have you tried OS X Internet Recovery? http://support.apple.com/kb/HT4718 restart your Mac while holding  Command+Option+R

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