The factors of 390 and the prime factors of 390 differ because three hundred and ninety is a composite number. Also, despite being closely related, the prime factors of 390 and the prime factorization of 390 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 390? and everything else you want to know about the topic.
What are the Factors of 390?
They are: 390, 195, 130, 78, 65, 39, 30, 26, 15, 13, 10, 6, 5, 3, 2, 1. These are all the factors of 390, and every entry in the list can divide 390 without rest (modulo 0). That’s why the terms factors and divisors of 390 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 390, as well as 1 are factors and divisors of 390.
Prime Factors of 390
The prime factors of 390 are the prime numbers which divide 390 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 390 divides the number 390 without any rest, modulo 0.
For 390, the prime factors are: 2, 3, 5, 13. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 390 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 390
The prime factorization of 390 is 2 x 3 x 5 x 13. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 390 does not include the number 1, yet it does include every instance of a certain prime factor.
390 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 390 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 390, 195, 130, 78, 65, 39, 30, 26, 15, 13, 10, 6, 5, 3, 2, 1 and multiply these integers to obtain 390. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 390.
The prime factorization or integer factorization of 390 means determining the set of prime numbers which, when multiplied together, produce the original number 390. This is also known as prime decomposition of 390.
Besides factors for 390, frequently searched terms on our website include:
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To sum up:
The factors, the prime factors and the prime factorization of 390 mean different things, and in strict terms cannot be used interchangeably despite being closely related.
The factors of three hundred and ninety are: 390, 195, 130, 78, 65, 39, 30, 26, 15, 13, 10, 6, 5, 3, 2, 1. The prime factors of three hundred and ninety are 2, 3, 5, 13. And the prime factorization of three hundred and ninety is 2 x 3 x 5 x 13. Remember that 1 is not a prime factor of 390.
No matter if you had been searching for prime factorization for 390 or prime numbers of 390, you have come to the right page. Also, if you typed what is the prime factorization of 390 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 390 as a product of prime factors or list the factors of 390 will no longer pose a challenge to you.
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