The factors of 24 and the prime factors of 24 differ because twenty-four is a composite number. Also, despite being closely related, the prime factors of 24 and the prime factorization of 24 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 24? and everything else you want to know about the topic.
What are the Factors of 24?
They are: 24, 12, 8, 6, 4, 3, 2, 1. These are all the factors of 24, and every entry in the list can divide 24 without rest (modulo 0). That’s why the terms factors and divisors of 24 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 24, as well as 1 are factors and divisors of 24.
Prime Factors of 24
The prime factors of 24 are the prime numbers which divide 24 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 24 divides the number 24 without any rest, modulo 0.
For 24, the prime factors are: 2, 3. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 24 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 24
The prime factorization of 24 is 2 x 2 x 2 x 3. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 24 does not include the number 1, yet it does include every instance of a certain prime factor.
24 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 24 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 24, 12, 8, 6, 4, 3, 2, 1 and multiply these integers to obtain 24. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 24.
The prime factorization or integer factorization of 24 means determining the set of prime numbers which, when multiplied together, produce the original number 24. This is also known as prime decomposition of 24.
Besides factors for 24, 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 24 by using the search form in the sidebar.
To sum up:
The factors, the prime factors and the prime factorization of 24 mean different things, and in strict terms cannot be used interchangeably despite being closely related.
The factors of twenty-four are: 24, 12, 8, 6, 4, 3, 2, 1. The prime factors of twenty-four are 2, 3. And the prime factorization of twenty-four is 2 x 2 x 2 x 3. Remember that 1 is not a prime factor of 24.
No matter if you had been searching for prime factorization for 24 or prime numbers of 24, you have come to the right page. Also, if you typed what is the prime factorization of 24 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 24 as a product of prime factors or list the factors of 24 will no longer pose a challenge to you.
If you have any questions about the factors of twenty-four then fill in the form below and we will respond as soon as possible. If our content concerning all factors of 24 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.