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The factors of 979 and the prime factors of 979 differ because nine hundred and seventy-nine is a composite number. Also, despite being closely related, the prime factors of 979 and the prime factorization of 979 are not exactly the same either.
What are the Factors of 979?
They are: 979, 89, 11, 1. These are all the factors of 979, and every entry in the list can divide 979 without rest (modulo 0). That’s why the terms factors and divisors of 979 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 979, as well as 1 are factors and divisors of 979.
Prime Factors of 979
The prime factors of 979 are the prime numbers which divide 979 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 979 divides the number 979 without any rest, modulo 0.
For 979, the prime factors are: 11, 89. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 979 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 979
The prime factorization of 979 is 11 x 89. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 979 does not include the number 1, yet it does include every instance of a certain prime factor.
979 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 979 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 979, 89, 11, 1 and multiply these integers to obtain 979. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 979.
The prime factorization or integer factorization of 979 means determining the set of prime numbers which, when multiplied together, produce the original number 979. This is also known as prime decomposition of 979.
Besides factors for 979, other searched terms on our website include:
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To sum up:
The factors of nine hundred and seventy-nine are: 979, 89, 11, 1. The prime factors of nine hundred and seventy-nine are 11, 89. And the prime factorization of nine hundred and seventy-nine is 11 x 89. Remember that 1 is not a prime factor of 979.
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Taking all of the above into account, tasks including write 979 as a product of prime factors or list the factors of 979 will no longer pose a challenge to you.
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