To find which number is a factor of the prime factorization of 60, we first need to determine the prime factorization of 60.
The prime factorization of 60 is: \[ 60 = 2^2 \times 3^1 \times 5^1 \]
Now, let’s check each of the given options to see which one is a factor:
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6: The prime factorization of 6 is \(2^1 \times 3^1\). Since both 2 and 3 are in the prime factorization of 60, 6 is a factor of 60.
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9: The prime factorization of 9 is \(3^2\). While 3 is in the prime factorization of 60, \(3^2\) is not a factor because 60 only has one 3 in its prime factorization. So, 9 is not a factor of 60.
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3: The prime factorization of 3 is \(3^1\). Since 3 is part of the prime factorization of 60, 3 is a factor of 60.
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15: The prime factorization of 15 is \(3^1 \times 5^1\). Since both 3 and 5 are in the prime factorization of 60, 15 is a factor of 60.
The factors from your list that are factors of the prime factorization of 60 are 6, 3, and 15.
The final options are:
- 6
- 3
- 15
Among these, the only number that you specifically asked about which is a clear factor of the prime factorization of 60 can be any of these (6, 3, and 15). If you want only one answer, you can choose any of them based on the context of your question.