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The factors of 998 and the prime factors of 998 differ because nine hundred and ninety-eight is a composite number. Also, despite being closely related, the prime factors of 998 and the prime factorization of 998 are not exactly the same either.
What are the Factors of 998?
They are: 998, 499, 2, 1. These are all the factors of 998, and every entry in the list can divide 998 without rest (modulo 0). That’s why the terms factors and divisors of 998 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 998, as well as 1 are factors and divisors of 998.
Prime Factors of 998
The prime factors of 998 are the prime numbers which divide 998 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 998 divides the number 998 without any rest, modulo 0.
For 998, the prime factors are: 2, 499. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 998 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 998
The prime factorization of 998 is 2 x 499. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 998 does not include the number 1, yet it does include every instance of a certain prime factor.
998 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 998 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 998, 499, 2, 1 and multiply these integers to obtain 998. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 998.
The prime factorization or integer factorization of 998 means determining the set of prime numbers which, when multiplied together, produce the original number 998. This is also known as prime decomposition of 998.
Besides factors for 998, other searched terms on our website include:
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To sum up:
The factors, the prime factors and the prime factorization of 998 mean different things, and in strict terms cannot be used interchangeably despite being closely related.
The factors of nine hundred and ninety-eight are: 998, 499, 2, 1. The prime factors of nine hundred and ninety-eight are 2, 499. And the prime factorization of nine hundred and ninety-eight is 2 x 499. Remember that 1 is not a prime factor of 998.
No matter if you had been searching for prime factorization for 998 or prime numbers of 998, you have come to the right page. Also, if you typed what is the prime factorization of 998 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 998 as a product of prime factors or list the factors of 998 will no longer pose a challenge to you.
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