***WARNING: RUN A FULL BACKUP BEFORE FOLLOWING ANY OF THE STEPS FROM THIS VIDEO!!***
NOTE: If you come across errors, try looking up the error on a search engine BEFORE asking me how to fix the new error. I only made this video about the rebooting issues, not errors backing up the phone or restoring the phone. Google is a good tool, use it. If you get stuck, ask away, and I'll help as I can.
The video herein contains steps to do a Factory Restore via DFU Mode (Not Recovery Mode) of the iPhone 3G, 3Gs, iPhone 4, 4s, and now 5 / 5s / 5c because of a glitch in the all iOS versions causing the iPhones to reboot randomly.
This will allow a fresh install on the iOS / Firmware and allow you to restore from a backup.
***WARNING: RUN A FULL BACKUP BEFORE FOLLOWING ANY OF THE STEPS FROM THIS VIDEO!!***