For each of the following (a) indicate how many factors are included, and (b) tell how many levels there are for each factor:

a) 2x2
b) 2x3
c) 2x3x2
d) 4x3
e) 4x3x2x3

I'll show you two of these to give you an idea how to figure out the rest.

a)2x2 has 2 factors; first factor has 2 levels and the second factor has 2 levels.

c)2x3x2 has 3 factors; first factor has 2 levels, the second factor has 3 levels, and the third factor has 2 levels.

I hope this will help get you started.