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The factors of 982 and the prime factors of 982 differ because nine hundred and eighty-two is a composite number. Also, despite being closely related, the prime factors of 982 and the prime factorization of 982 are not exactly the same either.
±1,±2,±491,±982
What are the Factors of 982?
They are: 982, 491, 2, 1. These are all the factors of 982, and every entry in the list can divide 982 without rest (modulo 0). That’s why the terms factors and divisors of 982 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 982, as well as 1 are factors and divisors of 982.
Prime Factors of 982
The prime factors of 982 are the prime numbers which divide 982 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 982 divides the number 982 without any rest, modulo 0.
For 982, the prime factors are: 2, 491. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 982 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 982
The prime factorization of 982 is 2 x 491. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 982 does not include the number 1, yet it does include every instance of a certain prime factor.
982 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 982 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 982, 491, 2, 1 and multiply these integers to obtain 982. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 982.
The prime factorization or integer factorization of 982 means determining the set of prime numbers which, when multiplied together, produce the original number 982. This is also known as prime decomposition of 982.
Besides factors for 982, other searched terms on our website include:
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Summary
To sum up:
The factors of nine hundred and eighty-two are: 982, 491, 2, 1. The prime factors of nine hundred and eighty-two are 2, 491. And the prime factorization of nine hundred and eighty-two is 2 x 491. Remember that 1 is not a prime factor of 982.
No matter if you had been searching for prime factorization for 982 or prime numbers of 982, you have come to the right page. Also, if you typed what is the prime factorization of 982 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 982 as a product of prime factors or list the factors of 982 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023