Question

Count the number of factors for composite number other than perfect square is that even or odd

Answer 1

Step-by-step explanation:

Let the number be N

And it can be expressed to the product of the power of primes p1, p2,...... pk

N=p1^n1×p2^n2........... ×pk^nk

No of divisors

d(N)=(n1+1)(n2+1).......(nk+1)

For example:-

1125=3²×5³

Here n1=2 and n2=3

Number of divisors [d(N)]=(2+1)(3+1)=3×4=12