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A prime factorization is the same as expressing a composite number as the product of its prime factors. Prime numbers don't have factorizations; they're already prime.

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Can 2 numbers have the same prime factorization?

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


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.


Is there more then one prime factorization of 576?

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.


Could 2x4x5x9x11 be the prime factorization of a number?

No because all the numbers in a prime factorization must be prime. The number 9 is not prime. It should be 3 *3. same thing with 4, should be 2*2. So what would be a prime factorization is 2x2x2x3x3x5x11.


A multiple of 5 does not end in 5 prime factorization of the number is a string of three numbers two of the prime factorization are the same and greater than the seventh square number?

567


Is a prime number the same as a prime factor?

If you are talking about the number itself, they can be the same. To be specific: A prime number is a number that only has the factors 1 and itself. A factor is a number that when multiplied creates a product. A prime factor is a prime number that is multiplied to create a product.


Which numbers have a prime factorization with factors that are all the same number?

Powers of primes


What is the answer to blank numbers can be written as product of blank factors.This is called the prime factorization of a number?

Composite numbers can be written as product of prime factors.


Can the greatest common factor and the least common multiple have the same number in prime factorization?

Only if they're the same number.


Is the factorization of 24 the same as the prime factorization of 24?

Yes.


How do you find the prime factorization of 34?

One way to find the prime factorization of a number is to start with the lowest prime number and see if it evenly divides the number. If it does, check whether the result of the division is divisible by that same prime number. When the prime number you are testing does not evenly divide that number, continue with the next prime number. Continue this until the result of the division is a prime number.Check whether 34 is divisible by 2:34 ÷ 2 = 1717 is a prime number, so the prime factorization is finished.The prime factorization of 34 is 2 x 17.Another way to find the prime factorization of a number is to choose a factor pair for that number. Then, find a factor pair for each of those numbers that is not prime.A factor tree of 34 is34/ \2 17Both 2 and 17 are prime, so the tree is finished.The prime factorization of 34 is 2 x 17.


What number is a multiple of 5 but it does not end in 5 it has a prime factorization of three and two numbers of the prime factorization are the same and is greater than the seventh square number?

2 x 5 x 5 = 50 satisfies those conditions.