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.
Only if they're the same number. Every composite number has a unique 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.
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.
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.
567
Powers of primes
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.
Only if they're the same number.
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.
Yes.
Composite numbers can be written as product of prime factors.
2 x 5 x 5 = 50 satisfies those conditions.