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The factors of 792 and the prime factors of 792 differ because seven hundred and ninety-two is a composite number. Also, despite being closely related, the prime factors of 792 and the prime factorization of 792 are not exactly the same either.
±1,±2,±3,±4,±6,±8,±9,±11,±12,±18,±22,±24,±33,±36,±44,±66,±72,±88,±99,±132,±198,±264,±396,±792
What are the Factors of 792?
They are: 792, 396, 264, 198, 132, 99, 88, 72, 66, 44, 36, 33, 24, 22, 18, 12, 11, 9, 8, 6, 4, 3, 2, 1. These are all the factors of 792, and every entry in the list can divide 792 without rest (modulo 0). That’s why the terms factors and divisors of 792 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 792, as well as 1 are factors and divisors of 792.
Prime Factors of 792
The prime factors of 792 are the prime numbers which divide 792 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 792 divides the number 792 without any rest, modulo 0.
For 792, the prime factors are: 2, 3, 11. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 792 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 792
The prime factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 792 does not include the number 1, yet it does include every instance of a certain prime factor.
792 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 792 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 792, 396, 264, 198, 132, 99, 88, 72, 66, 44, 36, 33, 24, 22, 18, 12, 11, 9, 8, 6, 4, 3, 2, 1 and multiply these integers to obtain 792. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 792.
The prime factorization or integer factorization of 792 means determining the set of prime numbers which, when multiplied together, produce the original number 792. This is also known as prime decomposition of 792.
Besides factors for 792, other searched terms on our website include:
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Summary
To sum up:
The factors of seven hundred and ninety-two are: 792, 396, 264, 198, 132, 99, 88, 72, 66, 44, 36, 33, 24, 22, 18, 12, 11, 9, 8, 6, 4, 3, 2, 1. The prime factors of seven hundred and ninety-two are 2, 3, 11. And the prime factorization of seven hundred and ninety-two is 2 x 2 x 2 x 3 x 3 x 11. Remember that 1 is not a prime factor of 792.
No matter if you had been searching for prime factorization for 792 or prime numbers of 792, you have come to the right page. Also, if you typed what is the prime factorization of 792 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 792 as a product of prime factors or list the factors of 792 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023