Q: Which does not show a factorization that includes only prime numbers?

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No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.

The prime factorization of 64 is 2x2x2x2x2x2 or 26. 2 is the only prime number in the factorization of 64.

Only one - which is repeated.

Since prime numbers only have one prime factor (themselves), they don't have prime factorizations.

1 is not a prime number, so it wouldn't be present in any prime factorization. Prime numbers don't really have factorizations, that is, the factorization is the number itself. There are prime numbers greater than 100.

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No.

No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.

no, for example the prime factorization of 4 is,{2,2} it only has two factors and one unique factor 2

The prime factorization of 64 is 2x2x2x2x2x2 or 26. 2 is the only prime number in the factorization of 64.

Only one - which is repeated.

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.

Since prime numbers only have one prime factor (themselves), they don't have prime factorizations.

No, multiplying a set of numbers can only come out as one product. Therefore, two numbers having the same prime factorization is impossible.

1 is not a prime number, so it wouldn't be present in any prime factorization. Prime numbers don't really have factorizations, that is, the factorization is the number itself. There are prime numbers greater than 100.

32 and 64 are the only two numbers which have prime factorization of only 2's. 32 = 25, 64 = 26

Only composite numbershave prime factorizations. Prime factorizations must consist of only prime numbers.

Only if they're the same number. Every composite number has a unique prime factorization.