I'm not sure what you mean by that. Prime numbers don't have prime factorizations because they are already prime.
3
233,357 is already prime.
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.
You've come to the right place. Here is the answer: None, because 293 is a prime number.
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.
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.
No, multiplying a set of numbers can only come out as one product. Therefore, two numbers having the same prime factorization is impossible.
Factor trees come up with prime factorizations. When you compare one prime factorization with another, you can come up with a GCF.
You've come to the right place. Here is the answer: 57 = 3 x 19
You've come to the right place. Here is the answer: 462 = 2 × 3 × 7 × 11
You've come to the right place. Here is the answer: 75 = 3 x 5 x 5
The prime factorization of 2008 is 2^3 x 251. This means that 2008 can be expressed as the product of the prime numbers 2 and 251, each raised to the power of their respective occurrences in the factorization. In this case, 2 is raised to the power of 3 because it appears three times in the factorization, while 251 is raised to the power of 1 because it appears once.