The factors of 990 and the prime factors of 990 differ because nine hundred and ninety is a composite number. Also, despite being closely related, the prime factors of 990 and the prime factorization of 990 are not exactly the same either. In any case, by reading on you can learn the answer to the question what are the factors of 990? and everything else you want to know about the topic.
What are the Factors of 990?
They are: 990, 495, 330, 198, 165, 110, 99, 90, 66, 55, 45, 33, 30, 22, 18, 15, 11, 10, 9, 6, 5, 3, 2, 1. These are all the factors of 990, and every entry in the list can divide 990 without rest (modulo 0). That’s why the terms factors and divisors of 990 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 990, as well as 1 are factors and divisors of 990.
Prime Factors of 990
The prime factors of 990 are the prime numbers which divide 990 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 990 divides the number 990 without any rest, modulo 0.
For 990, the prime factors are: 2, 3, 5, 11. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 990 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 990
The prime factorization of 990 is 2 x 3 x 3 x 5 x 11. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 990 does not include the number 1, yet it does include every instance of a certain prime factor.
990 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 990 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 990, 495, 330, 198, 165, 110, 99, 90, 66, 55, 45, 33, 30, 22, 18, 15, 11, 10, 9, 6, 5, 3, 2, 1 and multiply these integers to obtain 990. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 990.
The prime factorization or integer factorization of 990 means determining the set of prime numbers which, when multiplied together, produce the original number 990. This is also known as prime decomposition of 990.
Besides factors for 990, other searched terms on our website include:
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To sum up:
The factors, the prime factors and the prime factorization of 990 mean different things, and in strict terms cannot be used interchangeably despite being closely related.
The factors of nine hundred and ninety are: 990, 495, 330, 198, 165, 110, 99, 90, 66, 55, 45, 33, 30, 22, 18, 15, 11, 10, 9, 6, 5, 3, 2, 1. The prime factors of nine hundred and ninety are 2, 3, 5, 11. And the prime factorization of nine hundred and ninety is 2 x 3 x 3 x 5 x 11. Remember that 1 is not a prime factor of 990.
No matter if you had been searching for prime factorization for 990 or prime numbers of 990, you have come to the right page. Also, if you typed what is the prime factorization of 990 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 990 as a product of prime factors or list the factors of 990 will no longer pose a challenge to you.
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