The factors of 27 and the prime factors of 27 differ because twenty-seven is a composite number. Also, despite being closely related, the prime factors of 27 and the prime factorization of 27 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 27? and everything else you want to know about the topic.
What are the Factors of 27?
They are: 27, 9, 3, 1. These are all the factors of 27, and every entry in the list can divide 27 without rest (modulo 0). That’s why the terms factors and divisors of 27 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 27, as well as 1 are factors and divisors of 27.
Prime Factors of 27
The prime factors of 27 are the prime numbers which divide 27 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 27 divides the number 27 without any rest, modulo 0.
For 27, the prime factors are: 3. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 27 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 27
The prime factorization of 27 is 3 x 3 x 3. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 27 does not include the number 1, yet it does include every instance of a certain prime factor.
27 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 27 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 27, 9, 3, 1 and multiply these integers to obtain 27. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 27.
The prime factorization or integer factorization of 27 means determining the set of prime numbers which, when multiplied together, produce the original number 27. This is also known as prime decomposition of 27.
Besides factors for 27, 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 27 by using the search form in the sidebar.
To sum up:
The factors, the prime factors and the prime factorization of 27 mean different things, and in strict terms cannot be used interchangeably despite being closely related.
The factors of twenty-seven are: 27, 9, 3, 1. The prime factors of twenty-seven are 3. And the prime factorization of twenty-seven is 3 x 3 x 3. Remember that 1 is not a prime factor of 27.
No matter if you had been searching for prime factorization for 27 or prime numbers of 27, you have come to the right page. Also, if you typed what is the prime factorization of 27 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 27 as a product of prime factors or list the factors of 27 will no longer pose a challenge to you.
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