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

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No.No.

No, a composite number can't have more than one prime factorization.

Prime factorizations are unique. If you change the prime factorization, you change the number.

Not necessarily. The prime factorization of the composite number 10 is 2 x 5. Composite numbers have three or more factors.

Not necessarily. The prime factorization of the composite number 10 is 2 x 5. Composite numbers have three or more factors.

105 is a composite number because it has more than 2 factors

Each composite number has its own unique prime factorization. The largest number in that factorization would be the largest prime factor. It will never be more than half of the original number.

No. Every composite number has one unique prime factorization. You can write it with or without exponents, but it's still the same prime factorization.

75 is composite and the prime factorization is 3 x 5 x 5.composite

A prime number has no factors other than 1 and the number itself. If prime factorization of a number reveals one or more additional prime factors, the number is a composite.

Saying "The" Instead of "A"The prime factorization is used instead of a prime factorization because there is only one correct prime factorization of any given number. Of course, that refers to composite numbers because prime numbers have no prime factorization.The use of the word "a" implies that more than one prime factorization is possible when it's not. The use of the word "the" signifies that only one prime factorization is possible, though there are various ways to arrive at it.

A prime number has only 2 factors which are itself and one whereas a composite number has more than two factors.

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