The factors of 73 and the prime factors of 73 don’t differ much because seventy-three is a prime number. But, despite being closely related, the prime factors of 73 and the prime factorization of 73 are not exactly the same. By reading on you can learn the answer to the question *what are the factors of 73?* and everything else you want to know about the topic.

## What are the Factors of 73?

They are: 73, 1. These are all the factors of 73, and every entry in the list can divide 73 without rest (modulo 0). That’s why the terms factors and divisors of 73 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 73, as well as 1 are factors and divisors of 73.

## Prime Factors of 73

The prime factors of 73 are the *prime* numbers which divide 73 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 73 divides the number 73 without any rest, modulo 0.

For 73, **the prime factor is: 73**. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 73 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 73

The prime factorization of 73 is 73. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 73 does not include the number 1, yet it does include every instance of a certain prime factor.

73 is a prime number. In contrast to composite numbers which have at the least two factorizations, prime numbers like 73 only have one factorization.

The prime factorization or integer factorization of 73 means determining the set of prime numbers which, when multiplied together, produce the original number 73. This is also known as prime decomposition of 73.

Besides factors for 73, 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 73 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 73 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of seventy-three are: 73, 1. The prime factor of seventy-three is 73. And the prime factorization of seventy-three is 73. Remember that 1 is not a prime factor of 73.

No matter if you had been searching for prime factorization for 73 or prime numbers of 73, you have come to the right page. Also, if you typed *what is the prime factorization of 73* in the search engine then you are right here, of course.

Taking all of the above into account, tasks including *write 73 as a product of prime factors* or *list the factors of 73* will no longer pose a challenge to you.

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