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The factors of 984 and the prime factors of 984 differ because nine hundred and eighty-four is a composite number. Also, despite being closely related, the prime factors of 984 and the prime factorization of 984 are not exactly the same either.
±1,±2,±3,±4,±6,±8,±12,±24,±41,±82,±123,±164,±246,±328,±492,±984
What are the Factors of 984?
They are: 984, 492, 328, 246, 164, 123, 82, 41, 24, 12, 8, 6, 4, 3, 2, 1. These are all the factors of 984, and every entry in the list can divide 984 without rest (modulo 0). That’s why the terms factors and divisors of 984 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 984, as well as 1 are factors and divisors of 984.
Prime Factors of 984
The prime factors of 984 are the prime numbers which divide 984 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 984 divides the number 984 without any rest, modulo 0.
For 984, the prime factors are: 2, 3, 41. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 984 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 984
The prime factorization of 984 is 2 x 2 x 2 x 3 x 41. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 984 does not include the number 1, yet it does include every instance of a certain prime factor.
984 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 984 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 984, 492, 328, 246, 164, 123, 82, 41, 24, 12, 8, 6, 4, 3, 2, 1 and multiply these integers to obtain 984. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 984.
The prime factorization or integer factorization of 984 means determining the set of prime numbers which, when multiplied together, produce the original number 984. This is also known as prime decomposition of 984.
Besides factors for 984, other searched terms on our website include:
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Summary
To sum up:
The factors of nine hundred and eighty-four are: 984, 492, 328, 246, 164, 123, 82, 41, 24, 12, 8, 6, 4, 3, 2, 1. The prime factors of nine hundred and eighty-four are 2, 3, 41. And the prime factorization of nine hundred and eighty-four is 2 x 2 x 2 x 3 x 41. Remember that 1 is not a prime factor of 984.
No matter if you had been searching for prime factorization for 984 or prime numbers of 984, you have come to the right page. Also, if you typed what is the prime factorization of 984 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 984 as a product of prime factors or list the factors of 984 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023