Factors of 378


The factors of 378 and the prime factors of 378 differ because three hundred and seventy-eight is a composite number. Also, despite being closely related, the prime factors of 378 and the prime factorization of 378 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 378? and everything else you want to know about the topic.

What are the Factors of 378?

They are: 378, 189, 126, 63, 54, 42, 27, 21, 18, 14, 9, 7, 6, 3, 2, 1. These are all the factors of 378, and every entry in the list can divide 378 without rest (modulo 0). That’s why the terms factors and divisors of 378 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 378, as well as 1 are factors and divisors of 378.

Prime Factors of 378

The prime factors of 378 are the prime numbers which divide 378 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 378 divides the number 378 without any rest, modulo 0.

For 378, the prime factors are: 2, 3, 7. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 378 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.

Prime Factorization of 378

The prime factorization of 378 is 2 x 3 x 3 x 3 x 7. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 378 does not include the number 1, yet it does include every instance of a certain prime factor.

378 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 378 have at least two factorizations.

To illustrate what that means select the rightmost and leftmost integer in 378, 189, 126, 63, 54, 42, 27, 21, 18, 14, 9, 7, 6, 3, 2, 1 and multiply these integers to obtain 378. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 378.

The prime factorization or integer factorization of 378 means determining the set of prime numbers which, when multiplied together, produce the original number 378. This is also known as prime decomposition of 378.

Besides factors for 378, 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 378 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 378 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of three hundred and seventy-eight are: 378, 189, 126, 63, 54, 42, 27, 21, 18, 14, 9, 7, 6, 3, 2, 1. The prime factors of three hundred and seventy-eight are 2, 3, 7. And the prime factorization of three hundred and seventy-eight is 2 x 3 x 3 x 3 x 7. Remember that 1 is not a prime factor of 378.

No matter if you had been searching for prime factorization for 378 or prime numbers of 378, you have come to the right page. Also, if you typed what is the prime factorization of 378 in the search engine then you are right here, of course.

Taking all of the above into account, tasks including write 378 as a product of prime factors or list the factors of 378 will no longer pose a challenge to you.

If you have any questions about the factors of three hundred and seventy-eight then fill in the form below and we will respond as soon as possible. If our content concerning all factors of 378 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


the prime factorization of 8434-24-34what is prime factorization of 84find the prime factorization of 99prime factor of 112what is the gcf of 9highest common factor calculator 3 numbersfind the greatest common factor of 16 and 36prime factorization of 81composite numbers 1-200what is the prime factorization of 462what is the lcm of 2 and 10find the prime factorization of 48is 107 a composite numberwhat is the prime factorization of 364write 840 as a product of prime factorshighest common factor of 56multiplication chart to 25find the greatest common factor of 270 and 360is 801 a prime numberwhat is the prime factorization of 99132 prime factorizationis 67 a prime or composite numbergreatest common factor of 64 and 48prime factorization for 175find the prime factorization of 39what is the prime factorization of 140prime factors of 65prime factorization 85prime factor of 128prime factorizations of 72is 67 a prime or composite numberprime factorization of 176prime factors of 240what is the prime factorization of 165prime factorization 198the prime factorization of 114prime factorization for 80prime factors of 945prime factorization for 91prime factorization of 880smallest common multiple of 36 and 60multiplication tables upto 20 pdfwhat is the gcf of 12prime factorization for 7640x timetablewhat is the gcf of 9prime factorization of 297prime factorization of 376what are the prime factors of 108first five multiples of 12find the prime factorization of 3685 prime factorizationis 237 a prime numberwhat is the prime factorization of 84what is the gcf of 63 and 42what is the prime factorization of 81the prime factorization of 175what is the greatest common factor of 36 and 90greatest common factor of 35 and 36write 36 as a product of prime numberswhat is the prime factorization of 1000gcf of 81 and 48common multiples of 12 and 16multiplication tables 1-100prime factorization of 58what is the prime factorization of 81common multiples of 12 and 16prime factorization of 315common multiples of 4