No, it is not possible for a composite number to have more than one prime factorization. Example- Consider 6. Then there are two factorization. 6 = 23 and 6 = 16. And from both the factorizations,6 = 23 is a prime factorizations and 6 = 16 is not a prime factorization because, 6 is not a prime number. Thus, only 1 prime factorization is possible.
