The factors of 438 and the prime factors of 438 differ because four hundred and thirty-eight is a composite number. Also, despite being closely related, the prime factors of 438 and the prime factorization of 438 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 438? and everything else you want to know about the topic.
What are the Factors of 438?
They are: 438, 219, 146, 73, 6, 3, 2, 1. These are all the factors of 438, and every entry in the list can divide 438 without rest (modulo 0). That’s why the terms factors and divisors of 438 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 438, as well as 1 are factors and divisors of 438.
Prime Factors of 438
The prime factors of 438 are the prime numbers which divide 438 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 438 divides the number 438 without any rest, modulo 0.
For 438, the prime factors are: 2, 3, 73. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 438 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 438
The prime factorization of 438 is 2 x 3 x 73. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 438 does not include the number 1, yet it does include every instance of a certain prime factor.
438 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 438 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 438, 219, 146, 73, 6, 3, 2, 1 and multiply these integers to obtain 438. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 438.
The prime factorization or integer factorization of 438 means determining the set of prime numbers which, when multiplied together, produce the original number 438. This is also known as prime decomposition of 438.
Besides factors for 438, other 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 438 by using the search form in the sidebar.
To sum up:
The factors, the prime factors and the prime factorization of 438 mean different things, and in strict terms cannot be used interchangeably despite being closely related.
The factors of four hundred and thirty-eight are: 438, 219, 146, 73, 6, 3, 2, 1. The prime factors of four hundred and thirty-eight are 2, 3, 73. And the prime factorization of four hundred and thirty-eight is 2 x 3 x 73. Remember that 1 is not a prime factor of 438.
No matter if you had been searching for prime factorization for 438 or prime numbers of 438, you have come to the right page. Also, if you typed what is the prime factorization of 438 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 438 as a product of prime factors or list the factors of 438 will no longer pose a challenge to you.
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