Is it possible for a composite number to have more than one prime factorization?

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Amira

Mathematics

20 May, 20:15

Is it possible for a composite number to have more than one prime factorization?

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Anabelle Chung · Answer 1

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 = 2*3 and 6 = 1*6. And from both the factorizations, 6 = 2*3 is a prime factorizations and 6 = 1*6 is not a prime factorization because, 6 is not a prime number. Thus, only 1 prime factorization is possible.