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# What is Prime Factorization used for?

Updated: 8/29/2023 Wiki User

12y ago

It allows you to find all the factors of a number. Prime factorisation is necessary for calculating the greatest common factor and least common multiple of sets of numbers. That information is essential for working with rational numbers. Wiki User

8y ago  Study guides

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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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3055 Reviews Wiki User

6y ago

It can be used to simplify fractions. This can often make the numbers in a calculation smaller and so easier to deal with. Very large factors of primes are used for encrypting data for security.   Wiki User

12y ago

Finding least common multiple, greatest common factor; simplifying square roots.   Wiki User

12y ago

Really isn't any practical uses. It just gets you familiar with numbers and prime numbers and it gets your brain thinking.   Wiki User

10y ago

Math, chemistry, and physics.   Earn +20 pts
Q: What is Prime Factorization used for?
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Still have questions?  Related questions

### How does prime factorization relate to Venn Diagrams?

A Venn diagram may be used to display a prime factorization.

### Why do you say the prime factorization instead a prime factorization?

Saying "The" Instead of "A"The prime factorization is used instead of a prime factorization because there is only one correct prime factorization of any given number. Of course, that refers to composite numbers because prime numbers have no prime factorization.The use of the word "a" implies that more than one prime factorization is possible when it's not. The use of the word "the" signifies that only one prime factorization is possible, though there are various ways to arrive at it.

### What makes a factorization of a number a prime factorization?

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

### How do you subtract using prime factorization?

That is not what prime factorization is for.

### What is prime factorization of 22?

Prime Factorization of 22The prime factorization of 22 is:2 X 11Both numbers are prime, so 2 X 11 is the prime factorization of 22.

### Prime Factorization of 800?

The prime factorization is... 2x2x2x2x2x5x5

### Prime factorization chart?

how do i get the prime factorization of 45

### What is prime fatorization?

prime factorization is the factorization of numbers

### What is a term for finding prime factorization?

Prime factorization!

### What is diff prime factorization and regular factorization?

When asked for a factorization, it is generally understood to mean the prime factorization.

### How do you write out the prime factorization of a prime number?

The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?

### Can a number greater than 100 have only 1 number in it's prime factorization?

Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.