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The factors of 973 and the prime factors of 973 differ because nine hundred and seventy-three is a composite number. Also, despite being closely related, the prime factors of 973 and the prime factorization of 973 are not exactly the same either.
±1,±7,±139,±973
What are the Factors of 973?
They are: 973, 139, 7, 1. These are all the factors of 973, and every entry in the list can divide 973 without rest (modulo 0). That’s why the terms factors and divisors of 973 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 973, as well as 1 are factors and divisors of 973.
Prime Factors of 973
The prime factors of 973 are the prime numbers which divide 973 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 973 divides the number 973 without any rest, modulo 0.
For 973, the prime factors are: 7, 139. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 973 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 973
The prime factorization of 973 is 7 x 139. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 973 does not include the number 1, yet it does include every instance of a certain prime factor.
973 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 973 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 973, 139, 7, 1 and multiply these integers to obtain 973. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 973.
The prime factorization or integer factorization of 973 means determining the set of prime numbers which, when multiplied together, produce the original number 973. This is also known as prime decomposition of 973.
Besides factors for 973, other searched terms on our website include:
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Summary
To sum up:
The factors of nine hundred and seventy-three are: 973, 139, 7, 1. The prime factors of nine hundred and seventy-three are 7, 139. And the prime factorization of nine hundred and seventy-three is 7 x 139. Remember that 1 is not a prime factor of 973.
No matter if you had been searching for prime factorization for 973 or prime numbers of 973, you have come to the right page. Also, if you typed what is the prime factorization of 973 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 973 as a product of prime factors or list the factors of 973 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023