The factors of 353 and the prime factors of 353 don’t differ much because three hundred and fifty-three is a prime number. But, despite being closely related, the prime factors of 353 and the prime factorization of 353 are not exactly the same. By reading on you can learn the answer to the question *what are the factors of 353?* and everything else you want to know about the topic.

## What are the Factors of 353?

They are: 353, 1. These are all the factors of 353, and every entry in the list can divide 353 without rest (modulo 0). That’s why the terms factors and divisors of 353 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 353, as well as 1 are factors and divisors of 353.

## Prime Factors of 353

The prime factors of 353 are the *prime* numbers which divide 353 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 353 divides the number 353 without any rest, modulo 0.

For 353, **the prime factor is: 353**. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 353 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 353

The prime factorization of 353 is 353. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 353 does not include the number 1, yet it does include every instance of a certain prime factor.

353 is a prime number. In contrast to composite numbers which have at the least two factorizations, prime numbers like 353 only have one factorization.

The prime factorization or integer factorization of 353 means determining the set of prime numbers which, when multiplied together, produce the original number 353. This is also known as prime decomposition of 353.

Besides factors for 353, other 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 353 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 353 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of three hundred and fifty-three are: 353, 1. The prime factor of three hundred and fifty-three is 353. And the prime factorization of three hundred and fifty-three is 353. Remember that 1 is not a prime factor of 353.

No matter if you had been searching for prime factorization for 353 or prime numbers of 353, you have come to the right page. Also, if you typed *what is the prime factorization of 353* in the search engine then you are right here, of course.

Taking all of the above into account, tasks including *write 353 as a product of prime factors* or *list the factors of 353* will no longer pose a challenge to you.

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