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I'm not sure what you mean by that. Prime numbers don't have prime factorizations because they are already prime.

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Q: When doing prime factorization if there is a prime number does it come out even?
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What is the smallest number that can be divided into 45 to come up with the prime factorization?

3


What prime factorization does 233357 come from?

233,357 is already prime.


Why can't a composite number have more than one prime factorization?

What would it be? The prime factorization of 30 is 2 x 3 x 5. If you added any numbers, or changed them, you would come up with a different number.


What is one prime factorization of 293?

You've come to the right place. Here is the answer: None, because 293 is a prime number.


How do you find the factorization?

Of a number? Need a better question. To find the prime factorization of a number, you divide the number until you can't divide and come out with a whole number. 56 would be divided into 2X2X2X7, or 2 cubed X 7.


Prime factorization of 406?

406=2x203203=7x29PF=2x7x29The PF (Prime Factorization) of 406 is 2x7x29.*NOTE: When solving prime factorization, please use a factor tree. They're useful because when you start with a number, you find two factors that together multiplied equal the top number. If one of those factors are composite, find two factors for that number, and keep going until you come to a conclusion where the last number is prime. Therefore, the first factor for each composite factor of the top number, multiplied together, equal the number you started with.


Can two numbers have the same prime factorization?

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


Why do factor trees always come up with the GCF?

Factor trees come up with prime factorizations. When you compare one prime factorization with another, you can come up with a GCF.


How do you find the prime factorization of 57?

You've come to the right place. Here is the answer: 57 = 3 x 19


How do you find the prime factorization of 462?

You've come to the right place. Here is the answer: 462 = 2 × 3 × 7 × 11


How do you find the prime factorization of 75?

You've come to the right place. Here is the answer: 75 = 3 x 5 x 5


How come no number that is a multiple of 6 a prime number?

Multiples of 6 are even. The only even prime number is 2.