Sorry for posting twice in sucession, I was going to add this question in the same post as my previous one, but somehow forgot. Also, if you aren't going to explain an answer, I won't learn and I might as well not have the answer anyway. (I'm looking at you, guest troll.)
Anyways here is the question.
Catherine rolls a 6-sided die five times, and the product of her rolls is 300. How many different sequences of rolls could there have been? (The order of the rolls matters.)