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The factors of 989 and the prime factors of 989 differ because nine hundred and eighty-nine is a composite number. Also, despite being closely related, the prime factors of 989 and the prime factorization of 989 are not exactly the same either.
±1,±23,±43,±989
What are the Factors of 989?
They are: 989, 43, 23, 1. These are all the factors of 989, and every entry in the list can divide 989 without rest (modulo 0). That’s why the terms factors and divisors of 989 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 989, as well as 1 are factors and divisors of 989.
Prime Factors of 989
The prime factors of 989 are the prime numbers which divide 989 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 989 divides the number 989 without any rest, modulo 0.
For 989, the prime factors are: 23, 43. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 989 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 989
The prime factorization of 989 is 23 x 43. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 989 does not include the number 1, yet it does include every instance of a certain prime factor.
989 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 989 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 989, 43, 23, 1 and multiply these integers to obtain 989. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 989.
The prime factorization or integer factorization of 989 means determining the set of prime numbers which, when multiplied together, produce the original number 989. This is also known as prime decomposition of 989.
Besides factors for 989, other searched terms on our website include:
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Summary
To sum up:
The factors of nine hundred and eighty-nine are: 989, 43, 23, 1. The prime factors of nine hundred and eighty-nine are 23, 43. And the prime factorization of nine hundred and eighty-nine is 23 x 43. Remember that 1 is not a prime factor of 989.
No matter if you had been searching for prime factorization for 989 or prime numbers of 989, you have come to the right page. Also, if you typed what is the prime factorization of 989 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 989 as a product of prime factors or list the factors of 989 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023