Q: how do you prime factor numbers so well? you're great at doing it
A: you have to check to see if each smaller prime number goes into it. to do that, you can modify the big number by small multiples of the small number, until you get it to something you recognize. most of the trick is to get the big number to even out to a multiple of 10, then you can drop the zeros and it still maintains its same status of whether or not it is divisible by the smaller prime number you're checking into it