The factors of 101 and the prime factors of 101 don’t differ much because hundred and one is a prime number. But, despite being closely related, the prime factors of 101 and the prime factorization of 101 are not exactly the same. By reading on you can learn the answer to the question *what are the factors of 101?* and everything else you want to know about the topic.

## What are the Factors of 101?

They are: 101, 1. These are all the factors of 101, and every entry in the list can divide 101 without rest (modulo 0). That’s why the terms factors and divisors of 101 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 101, as well as 1 are factors and divisors of 101.

## Prime Factors of 101

The prime factors of 101 are the *prime* numbers which divide 101 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 101 divides the number 101 without any rest, modulo 0.

For 101, **the prime factor is: 101**. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 101 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 101

The prime factorization of 101 is 101. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 101 does not include the number 1, yet it does include every instance of a certain prime factor.

101 is a prime number. In contrast to composite numbers which have at the least two factorizations, prime numbers like 101 only have one factorization.

The prime factorization or integer factorization of 101 means determining the set of prime numbers which, when multiplied together, produce the original number 101. This is also known as prime decomposition of 101.

Besides factors for 101, 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 101 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 101 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of hundred and one are: 101, 1. The prime factor of hundred and one is 101. And the prime factorization of hundred and one is 101. Remember that 1 is not a prime factor of 101.

No matter if you had been searching for prime factorization for 101 or prime numbers of 101, you have come to the right page. Also, if you typed *what is the prime factorization of 101* in the search engine then you are right here, of course.

Taking all of the above into account, tasks including *write 101 as a product of prime factors* or *list the factors of 101* will no longer pose a challenge to you.

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