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The factors of 985 and the prime factors of 985 differ because nine hundred and eighty-five is a composite number. Also, despite being closely related, the prime factors of 985 and the prime factorization of 985 are not exactly the same either.
±1,±5,±197,±985
What are the Factors of 985?
They are: 985, 197, 5, 1. These are all the factors of 985, and every entry in the list can divide 985 without rest (modulo 0). That’s why the terms factors and divisors of 985 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 985, as well as 1 are factors and divisors of 985.
Prime Factors of 985
The prime factors of 985 are the prime numbers which divide 985 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 985 divides the number 985 without any rest, modulo 0.
For 985, the prime factors are: 5, 197. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 985 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 985
The prime factorization of 985 is 5 x 197. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 985 does not include the number 1, yet it does include every instance of a certain prime factor.
985 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 985 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 985, 197, 5, 1 and multiply these integers to obtain 985. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 985.
The prime factorization or integer factorization of 985 means determining the set of prime numbers which, when multiplied together, produce the original number 985. This is also known as prime decomposition of 985.
Besides factors for 985, other searched terms on our website include:
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Summary
To sum up:
The factors of nine hundred and eighty-five are: 985, 197, 5, 1. The prime factors of nine hundred and eighty-five are 5, 197. And the prime factorization of nine hundred and eighty-five is 5 x 197. Remember that 1 is not a prime factor of 985.
No matter if you had been searching for prime factorization for 985 or prime numbers of 985, you have come to the right page. Also, if you typed what is the prime factorization of 985 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 985 as a product of prime factors or list the factors of 985 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023