Factors of 60


The factors of 60 and the prime factors of 60 differ because sixty is a composite number. Also, despite being closely related, the prime factors of 60 and the prime factorization of 60 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 60? and everything else you want to know about the topic.

What are the Factors of 60?

They are: 60, 30, 20, 15, 12, 10, 6, 5, 4, 3, 2, 1. These are all the factors of 60, and every entry in the list can divide 60 without rest (modulo 0). That’s why the terms factors and divisors of 60 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 60, as well as 1 are factors and divisors of 60.

Prime Factors of 60

The prime factors of 60 are the prime numbers which divide 60 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 60 divides the number 60 without any rest, modulo 0.

For 60, the prime factors are: 2, 3, 5. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 60 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.

Prime Factorization of 60

The prime factorization of 60 is 2 x 2 x 3 x 5. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 60 does not include the number 1, yet it does include every instance of a certain prime factor.

60 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 60 have at least two factorizations.

To illustrate what that means select the rightmost and leftmost integer in 60, 30, 20, 15, 12, 10, 6, 5, 4, 3, 2, 1 and multiply these integers to obtain 60. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 60.

The prime factorization or integer factorization of 60 means determining the set of prime numbers which, when multiplied together, produce the original number 60. This is also known as prime decomposition of 60.

Besides factors for 60, 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 60 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 60 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of sixty are: 60, 30, 20, 15, 12, 10, 6, 5, 4, 3, 2, 1. The prime factors of sixty are 2, 3, 5. And the prime factorization of sixty is 2 x 2 x 3 x 5. Remember that 1 is not a prime factor of 60.

No matter if you had been searching for prime factorization for 60 or prime numbers of 60, you have come to the right page. Also, if you typed what is the prime factorization of 60 in the search engine then you are right here, of course.

Taking all of the above into account, tasks including write 60 as a product of prime factors or list the factors of 60 will no longer pose a challenge to you.

If you have any questions about the factors of sixty then fill in the form below and we will respond as soon as possible. If our content concerning all factors of 60 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 factorizations of 72write 24 as a product of prime factorscomposite numbers from 1 to 200143 prime numbercommon multiples of 5 and 6prime factorization of 105prime factorization of 1900prime factorization for 140greatest common factor of 56 and 42is 196 a prime numberwhat is the prime factorization of 675what is the lcm of 6 and 3find the prime factorization of 28multiplication chart 1-30what is the lcm of 4 and 5what is the prime factorization of 264common multiples of 8 and 10prime factorization of 153determine the prime factorization of 88calculator gcfprime factorization 105prime factorization of 2200prime factorization for 81prime factorization for 8prime factorization of 759is 63 a prime or composite numbercommon multiples of 12common multiples of 2 and 660-42greatest common factor of 34 and 51100-36100-85is 162 a prime numbergcf of 17 and 85prime factorization of 550what are the prime factors of 77prime factorization 16075 as a product of prime factorswhat is the lcm of 4 and 664 prime factorization50 prime factorization121 is a prime numberprime factorization of 5566 prime factorizationfactor tree for 144prime factorization of 210prime factorization of 255sevens times tables51 prime factorizationwhat is the factor tree of 84what is the prime factor of 64what is the prime factorization of 293prime factorization for 55prime factorization of 79prime factorization of 266what is the greatest common factor of 54 and 63prime factorization for 144prime factor of 102127 is a prime numberprime factorization for 8436 multiplication factsis 247 a prime numbersmallest common multiple of 36 and 60write 840 as a product of prime factorswhat is the greatest common factor of 96 and 64what is the least common multiple of 48 and 72find the prime factorization of 49multiplication chart up to 10042 prime factorizationcommon multiples of 24 and 36 from 1 to 100multiplication table 20x20prime factorization of 1000find the prime factorization of 225what is the prime factorization of 43gcf of 96 and 144what is the prime factorization of 190prime factorization of 184what are the factors of 142