Question

N is a natural number and n^3 has 16 factors. then how many factors can n^4 have?

Answer 1

if n*3 has 16 factors then n*14 will have 17 factors 

Answer 2

Answer:

Step-by-step explanation:

If n is a prime number the number of factors will be 4. However, it is given that they are 16. Therefore, n is not a prime number.

If n has two prime factors the number of factors will be 4*4 = 16.

Hence, n^4 will have 5*5 = 25 factors.