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Powers of primes

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Algebra

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Q: Which numbers have a prime factorization with factors that are all the same number?
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Related questions

How do you get a prime factorization?

You get a prime factorization by figuring out the factors of the number and then figuring out the factors of those numbers. If the number is prime there is no prime factorization. prime factorization.


How is prime factorization different from finding factors of a number?

All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.


What makes a factorization of a number a prime factorization?

When all the factors are prime numbers, that's a prime factorization.


What is the factorization in which all the factors are prime numbers of a number?

That's the prime factorization.


What are the prime factors and prime factorization?

All numbers have factors. Some factors are prime numbers. These are prime factors. A factor string where all the factors are prime numbers is called a prime factorization.


How can you use prime factorization to know if two numbers are prime?

A prime number has no factors other than 1 and the number itself. If prime factorization of a number reveals one or more additional prime factors, the number is a composite.


How do you determine the prime factors of any number?

In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly, without leaving a remainder. The process of finding these numbers is called integer factorization, or prime factorization.


What are the prime factorization for composite numbers 1-100?

finding the prime factors of a composite number


What is A composite number expressed as a product of factors that are prime numbers?

a prime factorization


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

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.


A composite number expressed as the product of factors that are prime numbers?

That's a prime factorization.


What is a whole number expressed as a product of factors that are all prime numbers?

a prime factorization


The prime factorization of any composite number includes three or more prime numbers?

Not necessarily. The prime factorization of the composite number 10 is 2 x 5. Composite numbers have three or more factors.


Does the prime factorization of any composite number includes 3 or more prime numbers?

Not necessarily. The prime factorization of the composite number 10 is 2 x 5. Composite numbers have three or more factors.


What are the prime factors to 32766?

The prime factorization of the number 32766 is (2 ¥ 3 ¥ 43 ¥ 127). The prime factorization is taking the whole numbers that by multiplying equals the original number.


What is prime factortization?

Prime factorization is the process of determining all of the prime factors of a given number. Prime factors are the prime numbers that when multiplied together give you the number to be factored. For example the prime factorization of 30 is 15 x 2


Does the prime factorization of any composite number include prime and composite numbers?

Prime factorization never includes a composite number. All numbers in prime factorization must be prime numbers.


What does prime factorization tell you about numbers?

It tells you if a number is prime or composite and it also gives you a few factors of the number.


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 primefactorization?

ytgfcdkhj Prime Factorization means you factor the number all the factors are prime numbers.


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.


How does the prime factorization of numbers work?

Prime factorization is a common mathematical tool. One uses prime factorization to determine what prime factors of any given number are. One can practice this tool online.


Is 7 x 12 the prime factorization of 84?

Prime Factorization of 84No, 7 X 12 is not the prime factorization of 84. In order to be prime factorization, all factors must be prime numbers. 7 is prime, but 12 is not. Since it is an even number, 2 will divide into it. 2 times 6 is 12, so the factorization would be 7 X 2 X 6. Since 6 is not a prime number, that is not the prime factorizatio of 84. The factors of 6 are 2 and 3. That means the factorization is 7 X 2 X 2 X 3. All the factors are now prime numbers, so the prime factorization of 84 with the factors in order from smallest to largest is 2 X 2 X 3 X 7. When finding the prime factorization of any number, you have to keep factoring any composite factors until all the factors are prime.


Does the number 1 have a prime factorization?

no. Prime numbers have to have two, and only two, factors: 1 and itself.


Will prime factorization help find the number of factors of any number?

Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors.