The factors of 108 and the prime factors of 108 differ because hundred and eight is a composite number. Also, despite being closely related, the prime factors of 108 and the prime factorization of 108 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 108? and everything else you want to know about the topic.
What are the Factors of 108?
They are: 108, 54, 36, 27, 18, 12, 9, 6, 4, 3, 2, 1. These are all the factors of 108, and every entry in the list can divide 108 without rest (modulo 0). That’s why the terms factors and divisors of 108 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 108, as well as 1 are factors and divisors of 108.
Prime Factors of 108
The prime factors of 108 are the prime numbers which divide 108 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 108 divides the number 108 without any rest, modulo 0.
For 108, the prime factors are: 2, 3. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 108 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 108
The prime factorization of 108 is 2 x 2 x 3 x 3 x 3. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 108 does not include the number 1, yet it does include every instance of a certain prime factor.
108 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 108 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 108, 54, 36, 27, 18, 12, 9, 6, 4, 3, 2, 1 and multiply these integers to obtain 108. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 108.
The prime factorization or integer factorization of 108 means determining the set of prime numbers which, when multiplied together, produce the original number 108. This is also known as prime decomposition of 108.
Besides factors for 108, frequently searched terms on our website include:
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To sum up:
The factors, the prime factors and the prime factorization of 108 mean different things, and in strict terms cannot be used interchangeably despite being closely related.
The factors of hundred and eight are: 108, 54, 36, 27, 18, 12, 9, 6, 4, 3, 2, 1. The prime factors of hundred and eight are 2, 3. And the prime factorization of hundred and eight is 2 x 2 x 3 x 3 x 3. Remember that 1 is not a prime factor of 108.
No matter if you had been searching for prime factorization for 108 or prime numbers of 108, you have come to the right page. Also, if you typed what is the prime factorization of 108 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 108 as a product of prime factors or list the factors of 108 will no longer pose a challenge to you.
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