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The factors of 993 and the prime factors of 993 differ because nine hundred and ninety-three is a composite number. Also, despite being closely related, the prime factors of 993 and the prime factorization of 993 are not exactly the same either.
±1,±3,±331,±993
What are the Factors of 993?
They are: 993, 331, 3, 1. These are all the factors of 993, and every entry in the list can divide 993 without rest (modulo 0). That’s why the terms factors and divisors of 993 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 993, as well as 1 are factors and divisors of 993.
Prime Factors of 993
The prime factors of 993 are the prime numbers which divide 993 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 993 divides the number 993 without any rest, modulo 0.
For 993, the prime factors are: 3, 331. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 993 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 993
The prime factorization of 993 is 3 x 331. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 993 does not include the number 1, yet it does include every instance of a certain prime factor.
993 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 993 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 993, 331, 3, 1 and multiply these integers to obtain 993. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 993.
The prime factorization or integer factorization of 993 means determining the set of prime numbers which, when multiplied together, produce the original number 993. This is also known as prime decomposition of 993.
Besides factors for 993, other searched terms on our website include:
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Summary
To sum up:
The factors of nine hundred and ninety-three are: 993, 331, 3, 1. The prime factors of nine hundred and ninety-three are 3, 331. And the prime factorization of nine hundred and ninety-three is 3 x 331. Remember that 1 is not a prime factor of 993.
No matter if you had been searching for prime factorization for 993 or prime numbers of 993, you have come to the right page. Also, if you typed what is the prime factorization of 993 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 993 as a product of prime factors or list the factors of 993 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023