Counting Divisors Question

I just looked up all of the factors of 600:

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Just count them up (but exclude '1' as there is more than one box) and 600 because there is more than one marble in each box.

Hi EP: Here is a simple way for large numbers with many divisors:

Factor 600 =2^3 x 3^1 x 5^2 = Take the exponent of each: (3 + 1) x (1+1) x (2+1)=4 x 2 x 3=24 divisors.