# Factors of 126

The factors of 126 and the prime factors of 126 differ because hundred and twenty-six is a composite number. Also, despite being closely related, the prime factors of 126 and the prime factorization of 126 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 126? and everything else you want to know about the topic.

## What are the Factors of 126?

They are: 126, 63, 42, 21, 18, 14, 9, 7, 6, 3, 2, 1. These are all the factors of 126, and every entry in the list can divide 126 without rest (modulo 0). That’s why the terms factors and divisors of 126 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 126, as well as 1 are factors and divisors of 126.

## Prime Factors of 126

The prime factors of 126 are the prime numbers which divide 126 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 126 divides the number 126 without any rest, modulo 0.

For 126, the prime factors are: 2, 3, 7. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 126 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.

## Prime Factorization of 126

The prime factorization of 126 is 2 x 3 x 3 x 7. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 126 does not include the number 1, yet it does include every instance of a certain prime factor.

126 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 126 have at least two factorizations.

To illustrate what that means select the rightmost and leftmost integer in 126, 63, 42, 21, 18, 14, 9, 7, 6, 3, 2, 1 and multiply these integers to obtain 126. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 126.

The prime factorization or integer factorization of 126 means determining the set of prime numbers which, when multiplied together, produce the original number 126. This is also known as prime decomposition of 126.

Besides factors for 126, 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 126 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 126 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of hundred and twenty-six are: 126, 63, 42, 21, 18, 14, 9, 7, 6, 3, 2, 1. The prime factors of hundred and twenty-six are 2, 3, 7. And the prime factorization of hundred and twenty-six is 2 x 3 x 3 x 7. Remember that 1 is not a prime factor of 126.

No matter if you had been searching for prime factorization for 126 or prime numbers of 126, you have come to the right page. Also, if you typed what is the prime factorization of 126 in the search engine then you are right here, of course.

Taking all of the above into account, tasks including write 126 as a product of prime factors or list the factors of 126 will no longer pose a challenge to you.

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