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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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โˆ™ 2013-02-27 01:01:36
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Q: Is the product of a prime number the same as the prime factorization?
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Related questions

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.


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


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


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.


Are prime factors and prime factorization the same?

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.


What are some methods for determining prime factorization?

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.


Prime factorization for 50?

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


Can two different numbers have the same prime factorization?

No.


What are the prime factorizations of 115?

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


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.


Do larger numbers have more prime factorization numbers than smaller numbers?

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


Do the prime factorization of 88 equal to 4x2x11 why?

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


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.


First prime number?

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.")


Is 100 the same as the prime factorization of 100?

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


Why the two different factor tree for 72 result in the same prime factorization?

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.


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 and why?

2 x 5 x 5 = 50 satisfies those conditions.


If you factor with different numbers do you get the same prime factorization?

Yes.


Is 10 to the power of 2 the same as the prime factorization of 2?

No.