Factors of 231


The factors of 231 and the prime factors of 231 differ because two hundred and thirty-one is a composite number. Also, despite being closely related, the prime factors of 231 and the prime factorization of 231 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 231? and everything else you want to know about the topic.

What are the Factors of 231?

They are: 231, 77, 33, 21, 11, 7, 3, 1. These are all the factors of 231, and every entry in the list can divide 231 without rest (modulo 0). That’s why the terms factors and divisors of 231 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 231, as well as 1 are factors and divisors of 231.

Prime Factors of 231

The prime factors of 231 are the prime numbers which divide 231 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 231 divides the number 231 without any rest, modulo 0.

For 231, the prime factors are: 3, 7, 11. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 231 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.

Prime Factorization of 231

The prime factorization of 231 is 3 x 7 x 11. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 231 does not include the number 1, yet it does include every instance of a certain prime factor.

231 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 231 have at least two factorizations.

To illustrate what that means select the rightmost and leftmost integer in 231, 77, 33, 21, 11, 7, 3, 1 and multiply these integers to obtain 231. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 231.

The prime factorization or integer factorization of 231 means determining the set of prime numbers which, when multiplied together, produce the original number 231. This is also known as prime decomposition of 231.

Besides factors for 231, 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 231 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 231 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of two hundred and thirty-one are: 231, 77, 33, 21, 11, 7, 3, 1. The prime factors of two hundred and thirty-one are 3, 7, 11. And the prime factorization of two hundred and thirty-one is 3 x 7 x 11. Remember that 1 is not a prime factor of 231.

No matter if you had been searching for prime factorization for 231 or prime numbers of 231, you have come to the right page. Also, if you typed what is the prime factorization of 231 in the search engine then you are right here, of course.

Taking all of the above into account, tasks including write 231 as a product of prime factors or list the factors of 231 will no longer pose a challenge to you.

If you have any questions about the factors of two hundred and thirty-one then fill in the form below and we will respond as soon as possible. If our content concerning all factors of 231 has been of help to you then share it by means of pressing the social buttons. And don’t forget to bookmark us.

Thanks for your visit.

Print Friendly, PDF & Email
Posted in Factors

Leave a Reply

Your email address will not be published. Required fields are marked *

*


Related pages


15x15 multiplication tableis 21 a prime number or a composite numberwhat is the prime factorization of 120common multiples of 16 and 18what is the gcf of 84what is the lcm of 7 and 5gcf and lcm of 36 and 45gcf of 81 and 36what is the greatest common factor of 56 and 42common multiples of 24 and 36 from 1 to 100common multiples of 6 and 10what is the prime factorization of 103prime factorization of 114what is the prime factorization of 750what is the prime factorization of 160is 18 a prime or composite numberprime factorization of 232lowest common multiple of 60 and 96what is the prime factorization of 1109times table38 prime factorizationis 63 prime or composite numberthe prime factorization of 147common multiples of 2 3 and 5the prime factorization of 48what is the prime factorization of 133prime factors of 945what is the prime factorization of 225prime factors of 294prime factorization of 648prime factorization of 150what are common multiples of 3 and 4what is the prime factorization of 135is 141 a prime numberprime factorization of 289prime factorization of 38what is the prime factorization of 700prime factors of 180the lcm of 2 and 4gcf tableprime factorization of 210what is the prime factorization of 98prime factorization of 110multiplication chart up to 500is 847 a prime numberis 24 a composite or prime number36-28-36whats the prime factorization of 16divisors of 144prime factorization of 88prime factor of 105what is the gcf of 48 and 64is 117 prime numberfind the prime factorization of 125prime factorization of 375lcm of 63is 19 a prime or composite numberwhat is the lcm of 2 and 10multiplication table 1-15hcf of 75greatest common factor of 36 and 4484 prime factorizationcommon multiples of 4 5 and 10121 is a prime numbercommon multiples of 4 and 10is 233 a prime numberprime factorization 51multiplication chart 1-100prime factorization of 735write 54 as a product of prime factorsgcf of 64 and 48smallest common multiple of 36 and 60what is the gcf of 6prime factorization of 44prime factorization 77write the prime factorization of 50