The factors of 233 and the prime factors of 233 don’t differ much because two hundred and thirty-three is a prime number. But, despite being closely related, the prime factors of 233 and the prime factorization of 233 are not exactly the same. By reading on you can learn the answer to the question *what are the factors of 233?* and everything else you want to know about the topic.

## What are the Factors of 233?

They are: 233, 1. These are all the factors of 233, and every entry in the list can divide 233 without rest (modulo 0). That’s why the terms factors and divisors of 233 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 233, as well as 1 are factors and divisors of 233.

## Prime Factors of 233

The prime factors of 233 are the *prime* numbers which divide 233 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 233 divides the number 233 without any rest, modulo 0.

For 233, **the prime factor is: 233**. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 233 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 233

The prime factorization of 233 is 233. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 233 does not include the number 1, yet it does include every instance of a certain prime factor.

233 is a prime number. In contrast to composite numbers which have at the least two factorizations, prime numbers like 233 only have one factorization.

The prime factorization or integer factorization of 233 means determining the set of prime numbers which, when multiplied together, produce the original number 233. This is also known as prime decomposition of 233.

Besides factors for 233, 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 233 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 233 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of two hundred and thirty-three are: 233, 1. The prime factor of two hundred and thirty-three is 233. And the prime factorization of two hundred and thirty-three is 233. Remember that 1 is not a prime factor of 233.

No matter if you had been searching for prime factorization for 233 or prime numbers of 233, you have come to the right page. Also, if you typed *what is the prime factorization of 233* in the search engine then you are right here, of course.

Taking all of the above into account, tasks including *write 233 as a product of prime factors* or *list the factors of 233* will no longer pose a challenge to you.

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