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Q: Is the product of a prime number the same as the prime factorization?

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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.

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.

Powers of primes

567

Only if they're the same number.

Yes.

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.

No. Prime factors are the numbers that make up other numbers, but they have to be prime. Prime factorisation is the process of finding the prime numbers that create a number. This is when you multiply the prime numbers together and the product is the original number. For example: 20 5x4 5x2x2 This process is called prime factorisation. In this case, the prime numbers are 2, 2, and 5.

There are factor trees and ladders and rainbows and fireworks and they're all pretty much the same thing: ways to notate the process of finding the prime factorization of a given number. They differ in where they write the number and where the factors end up. In a factor tree, write the original number at the top and the bottommost branch will be the prime factorization. In a factor rainbow, write the original number at the bottom and the prime factorization will be the uppermost arc.

The prime factorization of fifty is 2x5^2 which is the same as 2 times 5 to the second power.

No.

Prime factorization of 115 is: 5x23 Prime factors are the prime numbers multiplied with each other that together form the original numerical value. Prime numbers are numbers that have no factors besides one and itself. The first prime number is 2, then 3, 5, 7, 11, 13, and so on. Sometimes one may have a number that has multiple same prime numbers for its prime factorization; for example the prime factorization of 256 is 2x2x2x2x2x2x2x2

Composite numbers can be written as product of prime factors.

Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.

No because 88 as a product of its prime factors with exponents is: 23*11 = 88 which is the same as 2*2*2*11 = 88

2 x 5 x 5 = 50 satisfies those conditions.

The first prime number is 2. If you're wondering why 1 is not prime, well, probably because you cannot break a number down if you divide it by 1. When it comes to prime factorization, if you bring 1 into it, the number you start with will stay the same (e.g., If you star a "prime factorization tree" for 100 and start off with 1, you will still have 100. You do not "grow" another "branch.")

No. The prime factorization of 100 is 2 x 2 x 5 x 5.

well becouse seens 72 has a lot of factors so it has to be the same becouse 72 is a prime number and it could be by the essact number.

2 x 5 x 5 = 50 satisfies those conditions.

Yes.

No.