Factors of 33

The factors of 33 and the prime factors of 33 differ because thirty-three is a composite number. Also, despite being closely related, the prime factors of 33 and the prime factorization of 33 are not exactly the same either. In any case, by reading on you can learn the answer to the question what are the factors of 33? and everything else you want to know about the topic.

What are the Factors of 33?

They are: 33, 11, 3, 1. These are all the factors of 33, and every entry in the list can divide 33 without rest (modulo 0). That’s why the terms factors and divisors of 33 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 33, as well as 1 are factors and divisors of 33.

Prime Factors of 33

The prime factors of 33 are the prime numbers which divide 33 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 33 divides the number 33 without any rest, modulo 0.

For 33, the prime factors are: 3, 11. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 33 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.

Prime Factorization of 33

The prime factorization of 33 is 3 x 11. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 33 does not include the number 1, yet it does include every instance of a certain prime factor.

33 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 33 have at least two factorizations.

To illustrate what that means select the rightmost and leftmost integer in 33, 11, 3, 1 and multiply these integers to obtain 33. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 33.

The prime factorization or integer factorization of 33 means determining the set of prime numbers which, when multiplied together, produce the original number 33. This is also known as prime decomposition of 33.

Besides factors for 33, 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 33 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 33 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of thirty-three are: 33, 11, 3, 1. The prime factors of thirty-three are 3, 11. And the prime factorization of thirty-three is 3 x 11. Remember that 1 is not a prime factor of 33.

No matter if you had been searching for prime factorization for 33 or prime numbers of 33, you have come to the right page. Also, if you typed what is the prime factorization of 33 in the search engine then you are right here, of course.

Taking all of the above into account, tasks including write 33 as a product of prime factors or list the factors of 33 will no longer pose a challenge to you.

If you have any questions about the factors of thirty-three then fill in the form below and we will respond as soon as possible. If our content concerning all factors of 33 has been of help to you then share it by means of pressing the social buttons. And don’t forget to bookmark us.

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