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The factors of 988 and the prime factors of 988 differ because nine hundred and eighty-eight is a composite number. Also, despite being closely related, the prime factors of 988 and the prime factorization of 988 are not exactly the same either.
±1,±2,±4,±13,±19,±26,±38,±52,±76,±247,±494,±988
What are the Factors of 988?
They are: 988, 494, 247, 76, 52, 38, 26, 19, 13, 4, 2, 1. These are all the factors of 988, and every entry in the list can divide 988 without rest (modulo 0). That’s why the terms factors and divisors of 988 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 988, as well as 1 are factors and divisors of 988.
Prime Factors of 988
The prime factors of 988 are the prime numbers which divide 988 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 988 divides the number 988 without any rest, modulo 0.
For 988, the prime factors are: 2, 13, 19. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 988 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 988
The prime factorization of 988 is 2 x 2 x 13 x 19. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 988 does not include the number 1, yet it does include every instance of a certain prime factor.
988 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 988 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 988, 494, 247, 76, 52, 38, 26, 19, 13, 4, 2, 1 and multiply these integers to obtain 988. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 988.
The prime factorization or integer factorization of 988 means determining the set of prime numbers which, when multiplied together, produce the original number 988. This is also known as prime decomposition of 988.
Besides factors for 988, other searched terms on our website include:
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Summary
To sum up:
The factors of nine hundred and eighty-eight are: 988, 494, 247, 76, 52, 38, 26, 19, 13, 4, 2, 1. The prime factors of nine hundred and eighty-eight are 2, 13, 19. And the prime factorization of nine hundred and eighty-eight is 2 x 2 x 13 x 19. Remember that 1 is not a prime factor of 988.
No matter if you had been searching for prime factorization for 988 or prime numbers of 988, you have come to the right page. Also, if you typed what is the prime factorization of 988 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 988 as a product of prime factors or list the factors of 988 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023