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The factors of 994 and the prime factors of 994 differ because nine hundred and ninety-four is a composite number. Also, despite being closely related, the prime factors of 994 and the prime factorization of 994 are not exactly the same either.
What are the Factors of 994?
They are: 994, 497, 142, 71, 14, 7, 2, 1. These are all the factors of 994, and every entry in the list can divide 994 without rest (modulo 0). That’s why the terms factors and divisors of 994 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 994, as well as 1 are factors and divisors of 994.
Prime Factors of 994
The prime factors of 994 are the prime numbers which divide 994 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 994 divides the number 994 without any rest, modulo 0.
For 994, the prime factors are: 2, 7, 71. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 994 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 994
The prime factorization of 994 is 2 x 7 x 71. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 994 does not include the number 1, yet it does include every instance of a certain prime factor.
994 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 994 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 994, 497, 142, 71, 14, 7, 2, 1 and multiply these integers to obtain 994. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 994.
The prime factorization or integer factorization of 994 means determining the set of prime numbers which, when multiplied together, produce the original number 994. This is also known as prime decomposition of 994.
Besides factors for 994, other searched terms on our website include:
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To sum up:
The factors, the prime factors and the prime factorization of 994 mean different things, and in strict terms cannot be used interchangeably despite being closely related.
The factors of nine hundred and ninety-four are: 994, 497, 142, 71, 14, 7, 2, 1. The prime factors of nine hundred and ninety-four are 2, 7, 71. And the prime factorization of nine hundred and ninety-four is 2 x 7 x 71. Remember that 1 is not a prime factor of 994.
No matter if you had been searching for prime factorization for 994 or prime numbers of 994, you have come to the right page. Also, if you typed what is the prime factorization of 994 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 994 as a product of prime factors or list the factors of 994 will no longer pose a challenge to you.
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