The factors of 991 and the prime factors of 991 don’t differ much because nine hundred and ninety-one is a prime number. But, despite being closely related, the prime factors of 991 and the prime factorization of 991 are not exactly the same. By reading on you can learn the answer to the question *what are the factors of 991?* and everything else you want to know about the topic.

## What are the Factors of 991?

They are: 991, 1. These are all the factors of 991, and every entry in the list can divide 991 without rest (modulo 0). That’s why the terms factors and divisors of 991 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 991, as well as 1 are factors and divisors of 991.

## Prime Factors of 991

The prime factors of 991 are the *prime* numbers which divide 991 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 991 divides the number 991 without any rest, modulo 0.

For 991, **the prime factor is: 991**. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 991 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 991

The prime factorization of 991 is 991. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 991 does not include the number 1, yet it does include every instance of a certain prime factor.

991 is a prime number. In contrast to composite numbers which have at the least two factorizations, prime numbers like 991 only have one factorization.

The prime factorization or integer factorization of 991 means determining the set of prime numbers which, when multiplied together, produce the original number 991. This is also known as prime decomposition of 991.

Besides factors for 991, 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 991 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 991 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of nine hundred and ninety-one are: 991, 1. The prime factor of nine hundred and ninety-one is 991. And the prime factorization of nine hundred and ninety-one is 991. Remember that 1 is not a prime factor of 991.

No matter if you had been searching for prime factorization for 991 or prime numbers of 991, you have come to the right page. Also, if you typed *what is the prime factorization of 991* in the search engine then you are right here, of course.

Taking all of the above into account, tasks including *write 991 as a product of prime factors* or *list the factors of 991* will no longer pose a challenge to you.

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