Factors of 144


The factors of 144 and the prime factors of 144 differ because hundred and forty-four is a composite number. Also, despite being closely related, the prime factors of 144 and the prime factorization of 144 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 144? and everything else you want to know about the topic.

What are the Factors of 144?

They are: 144, 72, 48, 36, 24, 18, 16, 12, 9, 8, 6, 4, 3, 2, 1. These are all the factors of 144, and every entry in the list can divide 144 without rest (modulo 0). That’s why the terms factors and divisors of 144 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 144, as well as 1 are factors and divisors of 144.

Prime Factors of 144

The prime factors of 144 are the prime numbers which divide 144 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 144 divides the number 144 without any rest, modulo 0.

For 144, 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 144 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.

Prime Factorization of 144

The prime factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 144 does not include the number 1, yet it does include every instance of a certain prime factor.

144 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 144 have at least two factorizations.

To illustrate what that means select the rightmost and leftmost integer in 144, 72, 48, 36, 24, 18, 16, 12, 9, 8, 6, 4, 3, 2, 1 and multiply these integers to obtain 144. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 144.

The prime factorization or integer factorization of 144 means determining the set of prime numbers which, when multiplied together, produce the original number 144. This is also known as prime decomposition of 144.

Besides factors for 144, 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 144 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 144 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of hundred and forty-four are: 144, 72, 48, 36, 24, 18, 16, 12, 9, 8, 6, 4, 3, 2, 1. The prime factors of hundred and forty-four are 2, 3. And the prime factorization of hundred and forty-four is 2 x 2 x 2 x 2 x 3 x 3. Remember that 1 is not a prime factor of 144.

No matter if you had been searching for prime factorization for 144 or prime numbers of 144, you have come to the right page. Also, if you typed what is the prime factorization of 144 in the search engine then you are right here, of course.

Taking all of the above into account, tasks including write 144 as a product of prime factors or list the factors of 144 will no longer pose a challenge to you.

If you have any questions about the factors of hundred and forty-four then fill in the form below and we will respond as soon as possible. If our content concerning all factors of 144 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.

Print Friendly, PDF & Email
Posted in Factors

Leave a Reply

Your email address will not be published. Required fields are marked *

*


Related pages


prime factorization of 157196 prime factorization90 prime factorizationprime factorization of 365what is the greatest common factor of 63 and 81prime factorization of 192what is the prime factorization of 189is 117 a prime or composite numberis 673 a prime numberis 141 a prime numberprime factorization 99what is the prime factorization of 328is 105 a composite numberwhat is the least common multiple of 48 and 72prime factorization of 375what is the greatest common factor of 35 and 63gcf of 48 and 64prime factorization of 12149 prime factorization5x tablessevens times tablesprime factorization of 160prime factorization of 98what is the prime factorization for 8174-45whats the prime factorization of 63calculator for gcfprime factor of 96multiplication table up to 200prime factorization of 44prime factorization of 44hcf of 45 and 72prime factorization of 121what is the gcf of 2prime factorization for 56common multiples of 6 and 7highest common factor findergcf of 49 and 81write each number as a product of prime factorsis 39 a prime or composite numberprime factorization of 64prime factorization 120smallest common multiple of 36 and 60multiplication chart 1-40what are the prime factors of 102prime factorization for 96prime factorization of 120prime factor of 67what is prime factorization of 96multiplication chart 1 50 printable3s times tablescommon multiples of 10common multiples of 3 and 836-26-36prime factorization 51largest common denominator calculatorprime factorization 84what is the greatest prime factor of 38greatest common factor of 48 and 72whats prime factorizationhcf of 72 and 96easiest way to find lcmmultiplication tables 1-20prime factorization of 180multiplication chart 1 300express 56 as a product of its prime factorsprime factorization of 345is 191 a prime numbersevens times tableswhat is the prime factorization of 133what is the prime factorization of 144