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The factors of 981 and the prime factors of 981 differ because nine hundred and eighty-one is a composite number. Also, despite being closely related, the prime factors of 981 and the prime factorization of 981 are not exactly the same either.
±1,±3,±9,±109,±327,±981
What are the Factors of 981?
They are: 981, 327, 109, 9, 3, 1. These are all the factors of 981, and every entry in the list can divide 981 without rest (modulo 0). That’s why the terms factors and divisors of 981 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 981, as well as 1 are factors and divisors of 981.
Prime Factors of 981
The prime factors of 981 are the prime numbers which divide 981 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 981 divides the number 981 without any rest, modulo 0.
For 981, the prime factors are: 3, 109. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 981 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 981
The prime factorization of 981 is 3 x 3 x 109. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 981 does not include the number 1, yet it does include every instance of a certain prime factor.
981 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 981 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 981, 327, 109, 9, 3, 1 and multiply these integers to obtain 981. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 981.
The prime factorization or integer factorization of 981 means determining the set of prime numbers which, when multiplied together, produce the original number 981. This is also known as prime decomposition of 981.
Besides factors for 981, other searched terms on our website include:
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Summary
To sum up:
The factors of nine hundred and eighty-one are: 981, 327, 109, 9, 3, 1. The prime factors of nine hundred and eighty-one are 3, 109. And the prime factorization of nine hundred and eighty-one is 3 x 3 x 109. Remember that 1 is not a prime factor of 981.
No matter if you had been searching for prime factorization for 981 or prime numbers of 981, you have come to the right page. Also, if you typed what is the prime factorization of 981 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 981 as a product of prime factors or list the factors of 981 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023