Is it possible for a composite number to have more than one prime factorization? Is it possible for a number to have no prime factors? Why?

Question

alexandervonhumboldt2 · Answer

do you know what is a composite number?

alexandervonhumboldt2 · Answer

'A composite number is a positive integer that has at least one positive divisor other than one or the number itself.'

alexandervonhumboldt2 · Answer

'A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.'

directrix · Answer

According to the Fundamental Theorem of Arithmetic, "Any integer greater than 1 is either a prime number, or can be written as a unique product of prime numbers (ignoring the order)."

A composite number will have exactly one prime factorization.

directrix · Answer

Is it possible for a number to have no prime factors? Why? 

What do you think is the answer to this?