The factors of 67 and the prime factors of 67 don’t differ much because sixty-seven is a prime number. But, despite being closely related, the prime factors of 67 and the prime factorization of 67 are not exactly the same. By reading on you can learn the answer to the question *what are the factors of 67?* and everything else you want to know about the topic.

## What are the Factors of 67?

They are: 67, 1. These are all the factors of 67, and every entry in the list can divide 67 without rest (modulo 0). That’s why the terms factors and divisors of 67 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 67, as well as 1 are factors and divisors of 67.

## Prime Factors of 67

The prime factors of 67 are the *prime* numbers which divide 67 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 67 divides the number 67 without any rest, modulo 0.

For 67, **the prime factor is: 67**. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 67 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 67

The prime factorization of 67 is 67. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 67 does not include the number 1, yet it does include every instance of a certain prime factor.

67 is a prime number. In contrast to composite numbers which have at the least two factorizations, prime numbers like 67 only have one factorization.

The prime factorization or integer factorization of 67 means determining the set of prime numbers which, when multiplied together, produce the original number 67. This is also known as prime decomposition of 67.

Besides factors for 67, 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 67 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 67 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of sixty-seven are: 67, 1. The prime factor of sixty-seven is 67. And the prime factorization of sixty-seven is 67. Remember that 1 is not a prime factor of 67.

No matter if you had been searching for prime factorization for 67 or prime numbers of 67, you have come to the right page. Also, if you typed *what is the prime factorization of 67* in the search engine then you are right here, of course.

Taking all of the above into account, tasks including *write 67 as a product of prime factors* or *list the factors of 67* will no longer pose a challenge to you.

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