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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.

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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.

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

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

Math, chemistry, and physics.

Q: What is Prime Factorization used for?

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

That is not what prime factorization is for.

3 is already prime. No factorization.

What is the prime factorization of 256^180

113 is already prime. No factorization.

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A Venn diagram may be used to display 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.

No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.

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

That is not what prime factorization is for.

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 is the factorization of numbers

The prime factorization is... 2x2x2x2x2x5x5

how do i get the prime factorization of 45

Prime factorization!

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