IRQL_NOT_LESS_OR_EQUAL BSOD could be a memory-related issue

I recently built my wife a new computer, and right off the bat we started getting IRQL_NOT_LESS_OR_EQUAL BSOD (blue screen of death) problems. We researched high and low online for answers to fix this problem, but most sites accuse device drivers to be at fault, that most likely we installed the wrong driver for one of the installed devices or computer component. But the problem we were seeing was we’d get the bsod after a fresh new installation of windows, and one time even DURING the windows installation, so it couldn’t have been a device driver problem unless Windows 7 itself was installing a driver it should not have, which is usually not the case.