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The factors of 987 and the prime factors of 987 differ because nine hundred and eighty-seven is a composite number. Also, despite being closely related, the prime factors of 987 and the prime factorization of 987 are not exactly the same either.
±1,±3,±7,±21,±47,±141,±329,±987
What are the Factors of 987?
They are: 987, 329, 141, 47, 21, 7, 3, 1. These are all the factors of 987, and every entry in the list can divide 987 without rest (modulo 0). That’s why the terms factors and divisors of 987 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 987, as well as 1 are factors and divisors of 987.
Prime Factors of 987
The prime factors of 987 are the prime numbers which divide 987 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 987 divides the number 987 without any rest, modulo 0.
For 987, the prime factors are: 3, 7, 47. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 987 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 987
The prime factorization of 987 is 3 x 7 x 47. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 987 does not include the number 1, yet it does include every instance of a certain prime factor.
987 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 987 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 987, 329, 141, 47, 21, 7, 3, 1 and multiply these integers to obtain 987. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 987.
The prime factorization or integer factorization of 987 means determining the set of prime numbers which, when multiplied together, produce the original number 987. This is also known as prime decomposition of 987.
Besides factors for 987, other searched terms on our website include:
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Summary
To sum up:
The factors of nine hundred and eighty-seven are: 987, 329, 141, 47, 21, 7, 3, 1. The prime factors of nine hundred and eighty-seven are 3, 7, 47. And the prime factorization of nine hundred and eighty-seven is 3 x 7 x 47. Remember that 1 is not a prime factor of 987.
No matter if you had been searching for prime factorization for 987 or prime numbers of 987, you have come to the right page. Also, if you typed what is the prime factorization of 987 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 987 as a product of prime factors or list the factors of 987 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023