The factors of 875 and the prime factors of 875 differ because eight hundred and seventy-five is a composite number. Also, despite being closely related, the prime factors of 875 and the prime factorization of 875 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 875? and everything else you want to know about the topic.
What are the Factors of 875?
They are: 875, 175, 125, 35, 25, 7, 5, 1. These are all the factors of 875, and every entry in the list can divide 875 without rest (modulo 0). That’s why the terms factors and divisors of 875 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 875, as well as 1 are factors and divisors of 875.
Prime Factors of 875
The prime factors of 875 are the prime numbers which divide 875 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 875 divides the number 875 without any rest, modulo 0.
For 875, the prime factors are: 5, 7. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 875 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 875
The prime factorization of 875 is 5 x 5 x 5 x 7. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 875 does not include the number 1, yet it does include every instance of a certain prime factor.
875 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 875 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 875, 175, 125, 35, 25, 7, 5, 1 and multiply these integers to obtain 875. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 875.
The prime factorization or integer factorization of 875 means determining the set of prime numbers which, when multiplied together, produce the original number 875. This is also known as prime decomposition of 875.
Besides factors for 875, other searched terms on our website include:
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To sum up:
The factors, the prime factors and the prime factorization of 875 mean different things, and in strict terms cannot be used interchangeably despite being closely related.
The factors of eight hundred and seventy-five are: 875, 175, 125, 35, 25, 7, 5, 1. The prime factors of eight hundred and seventy-five are 5, 7. And the prime factorization of eight hundred and seventy-five is 5 x 5 x 5 x 7. Remember that 1 is not a prime factor of 875.
No matter if you had been searching for prime factorization for 875 or prime numbers of 875, you have come to the right page. Also, if you typed what is the prime factorization of 875 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 875 as a product of prime factors or list the factors of 875 will no longer pose a challenge to you.
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