Following the research done on primordial black holes, initially by Steven Hawking and Bernard Carr in 1974, there has been extensive research in the field of Cosmology regarding primordial black holes. My goal was to compile and analyze the research and investigate several areas of Astronomy and Cosmology to see where primordial black holes could offer some insight into unanswered questions in the fields. I studied the relationship between primordial black holes and quasars, galaxy formation, dark matter, and observed gamma ray bursts. I also mathematically derived equations to verify the conclusions made by Hawking and Carr in their 1974 paper. I found that, primordial black holes should also have formed in the early, radiation-dominated universe given any slight over-density of matter.