list all the factors of 48 using an approprate strategy
one strategy is to find small factors, divide them out, and factor the quotients
e.g, 48 = 2*24
24 * 2*12
12 * 2*6
6 = 2*3
so, the factors of 48 are 2,2,2,2,3
Now use them in combinations to get
2,4,8,16
3,6,12,24