Question

N has 13 factors smaller than N. Find the maximum number of factors of N ^ 3​

Answer 1

Answer:

here is the answer

If N^2 has 13 factors smaller than N, what is the maximum number of factors of N^3?

The number N must be of the form:

N = a x b x c

The number of factors of N^2 is 27, out of which 13 are less than N and 13 are more than N.

Now maximum number of factors for N^3 would be: (3+1)(3+1)(3+1) = 64.