The factors of 509 and the prime factors of 509 don’t differ much because five hundred and nine is a prime number. But, despite being closely related, the prime factors of 509 and the prime factorization of 509 are not exactly the same. By reading on you can learn the answer to the question *what are the factors of 509?* and everything else you want to know about the topic.

## What are the Factors of 509?

They are: 509, 1. These are all the factors of 509, and every entry in the list can divide 509 without rest (modulo 0). That’s why the terms factors and divisors of 509 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 509, as well as 1 are factors and divisors of 509.

## Prime Factors of 509

The prime factors of 509 are the *prime* numbers which divide 509 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 509 divides the number 509 without any rest, modulo 0.

For 509, **the prime factor is: 509**. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 509 apart is the word “prime”. For non-prime numbers the former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.

## Prime Factorization of 509

The prime factorization of 509 is 509. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 509 does not include the number 1, yet it does include every instance of a certain prime factor.

509 is a prime number. In contrast to composite numbers which have at the least two factorizations, prime numbers like 509 only have one factorization.

The prime factorization or integer factorization of 509 means determining the set of prime numbers which, when multiplied together, produce the original number 509. This is also known as prime decomposition of 509.

Besides factors for 509, frequently searched terms on our website include:

We did not place any calculator here as there are already a plethora of them on the web. But you can find the factors, prime factors and the factorizations of many numbers including 509 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 509 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of five hundred and nine are: 509, 1. The prime factor of five hundred and nine is 509. And the prime factorization of five hundred and nine is 509. Remember that 1 is not a prime factor of 509.

No matter if you had been searching for prime factorization for 509 or prime numbers of 509, you have come to the right page. Also, if you typed *what is the prime factorization of 509* in the search engine then you are right here, of course.

Taking all of the above into account, tasks including *write 509 as a product of prime factors* or *list the factors of 509* will no longer pose a challenge to you.

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