The factors of 87 and the prime factors of 87 differ because eighty-seven is a composite number. Also, despite being closely related, the prime factors of 87 and the prime factorization of 87 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 87? and everything else you want to know about the topic.
What are the Factors of 87?
They are: 87, 29, 3, 1. These are all the factors of 87, and every entry in the list can divide 87 without rest (modulo 0). That’s why the terms factors and divisors of 87 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 87, as well as 1 are factors and divisors of 87.
Prime Factors of 87
The prime factors of 87 are the prime numbers which divide 87 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 87 divides the number 87 without any rest, modulo 0.
For 87, the prime factors are: 3, 29. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 87 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 87
The prime factorization of 87 is 3 x 29. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 87 does not include the number 1, yet it does include every instance of a certain prime factor.
87 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 87 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 87, 29, 3, 1 and multiply these integers to obtain 87. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 87.
The prime factorization or integer factorization of 87 means determining the set of prime numbers which, when multiplied together, produce the original number 87. This is also known as prime decomposition of 87.
Besides factors for 87, frequently searched terms on our website include:
We did not place any calculator here as there are already a plethora of them on the web. But you can find the factors, prime factors and the factorizations of many numbers including 87 by using the search form in the sidebar.
To sum up:
The factors, the prime factors and the prime factorization of 87 mean different things, and in strict terms cannot be used interchangeably despite being closely related.
The factors of eighty-seven are: 87, 29, 3, 1. The prime factors of eighty-seven are 3, 29. And the prime factorization of eighty-seven is 3 x 29. Remember that 1 is not a prime factor of 87.
No matter if you had been searching for prime factorization for 87 or prime numbers of 87, you have come to the right page. Also, if you typed what is the prime factorization of 87 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 87 as a product of prime factors or list the factors of 87 will no longer pose a challenge to you.
If you have any questions about the factors of eighty-seven then fill in the form below and we will respond as soon as possible. If our content concerning all factors of 87 has been of help to you then share it by means of pressing the social buttons. And don’t forget to bookmark us.
Thanks for your visit.