Prime Numbers

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

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

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## Related Questions write the prime factorization of the number. simple as that.     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. 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. True(Prime factorization is to write a composite number as a product of its prime factors). Prime Factorization of 3131 is a prime number, so there is no prime factorization of it.It is 31 because it is a prime number It is called the prime factorisation (or prime decomposition) of the composite number.  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. 23 is a prime number so there is no prime factorization. Some consider it to be acceptable to write 1 X 23 in order to show the number is prime, even though 1 is not a prime or composite number.23 is already prime. Prime Factorization of 22 is a prime number, so it does not have a prime factorization. 11 is already prime; no need for a factorization. 13 is already prime. No factorization necessary. 53 is a prime number so there is no relevant prime factorization for it. The only number with that prime factorization has to be 48. The prime factorization of 728 is: 2 x 2 x 2 x 7 x 13 To write a composite whole number as the product of its prime factors is to write its 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. I define prime factorization as "expressing a given number as the product of its prime factors." I don't know how to make it easier than that.   The mean write the number as an expression of its prime factors. The prime factors of 210 are 2, 3, 5 and 7. 2 x 3 x 5 x 7 is the prime factorization of 210.

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