What is the total number of positive divisors of 12600 ?

Setup the equation for determining the number of factors or divisors. 

The equation is= d(n)  =  (a + 1)(b + 1)(c + 1)(d + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

12,600 = 23 x 32 x 52 x 71
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
d(12600) = (3 + 1)(2 + 1)(2 + 1)(1 + 1)
d(12600) = (4)(3)(3)(2)
d(12600) = 72   Answer