Factors of 72


The factors of 72 and the prime factors of 72 differ because seventy-two is a composite number. Also, despite being closely related, the prime factors of 72 and the prime factorization of 72 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 72? and everything else you want to know about the topic.

What are the Factors of 72?

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

As is the case for any natural number greater than zero, the number itself, here 72, as well as 1 are factors and divisors of 72.

Prime Factors of 72

The prime factors of 72 are the prime numbers which divide 72 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 72 divides the number 72 without any rest, modulo 0.

For 72, 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 72 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.

Prime Factorization of 72

The prime factorization of 72 is 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 72 does not include the number 1, yet it does include every instance of a certain prime factor.

72 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 72 have at least two factorizations.

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

The prime factorization or integer factorization of 72 means determining the set of prime numbers which, when multiplied together, produce the original number 72. This is also known as prime decomposition of 72.

Besides factors for 72, 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 72 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 72 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of seventy-two are: 72, 36, 24, 18, 12, 9, 8, 6, 4, 3, 2, 1. The prime factors of seventy-two are 2, 3. And the prime factorization of seventy-two is 2 x 2 x 2 x 3 x 3. Remember that 1 is not a prime factor of 72.

No matter if you had been searching for prime factorization for 72 or prime numbers of 72, you have come to the right page. Also, if you typed what is the prime factorization of 72 in the search engine then you are right here, of course.

Taking all of the above into account, tasks including write 72 as a product of prime factors or list the factors of 72 will no longer pose a challenge to you.

If you have any questions about the factors of seventy-two then fill in the form below and we will respond as soon as possible. If our content concerning all factors of 72 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


multiplication chart 1-24greatest common factor of 48 and 64least common multiple of 42multiplication table 40prime factorization of 61prime factorization for 76multiplication chart 200what is a prime factorization of 7236-28-36whats the prime factorization of 81gcf of 81 and 48is 33 a prime or composite numberwhat is the gcf of 56 and 96what is the prime factorization of 98the prime factorization of 180greatest common factor of 54 and 36prime factorization for 44what is the greatest common factor of 35 and 63highest common factor of 72 and 96what is the prime factorization of 192what is prime factorization of 84what is prime factorization of 81prime factorization of 182common multiples of 16 and 18prime factors of 440what is the gcf of 56 and 98what is the lowest common multiple of 60 and 96what is the lcm of 3 and 4prime factorizations of 72prime factorization of 700what is the greatest prime factor of 96what is the prime factorization of 300what is the lcm of 2 and 5gcf of 36 and 63what is the gcf of 100what is the prime factorization of 221what is the prime factorization of 750hcf of 75what is the gcf of 96 48 and 84common multiples of 2 and 4prime factorization 56multiplication table 13 to 20prime factorization of 186what is the greatest common factor of 64 and 48is 18 a prime or composite numberwrite the prime factorization of 20printable multiplication table 1-20prime factorization 216prime factorization of 400 using exponentshcf of 60 and 75what is the lcm of 3 and 4prime factorization 77common multiples of 7 and 14what are the prime factors of 75prime factorization of 96is 467 a prime numbercommon multiples of 2 and 6what is the prime factorization of 400multiplication table 1-25is 487 a prime number99 as a product of prime factorsprime factorization of 243prime factorization of 627what is the prime factorization of 1000what is the prime factorization of 264prime factorization of 62what is the prime factorization of 190what is the gcf of 63 and 42multiplication chart 1-9the prime factorization of 92largest common denominator calculatorgcf of 121