Question

Number of ways a number can be expressed as a product of two coprime numbers

Answer 1

there are infinite co-prime no.s

hence no of ways to express to no.s as product of two co primes no.s is infinite.

Answer 2

Hey MATE!

In your question too many situations arise :

1) It may be that the number given is a prime number so it has factors 1 and itself.

2) The number given example 4 we take into consideration.
It has factors 2 *2 or 4*1 therefore being a coprime and even it can't have coprime factors.

3) The number given may be odd for example 39 which has factors -

3 * 13 and 39 * 1

So in this case too we can't say that 39 can be expressed as factor consisting coprime numbers.

So it is not possible for a number to have coprime factors.

Hope it helps

Hakuna Matata :))