# Factors of 735

The factors of 735 and the prime factors of 735 differ because seven hundred and thirty-five is a composite number. Also, despite being closely related, the prime factors of 735 and the prime factorization of 735 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 735? and everything else you want to know about the topic.

## What are the Factors of 735?

They are: 735, 245, 147, 105, 49, 35, 21, 15, 7, 5, 3, 1. These are all the factors of 735, and every entry in the list can divide 735 without rest (modulo 0). That’s why the terms factors and divisors of 735 can be used interchangeably.

As is the case for any natural number greater than zero, the number itself, here 735, as well as 1 are factors and divisors of 735.

## Prime Factors of 735

The prime factors of 735 are the prime numbers which divide 735 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 735 divides the number 735 without any rest, modulo 0.

For 735, the prime factors are: 3, 5, 7. By definition, 1 is not a prime number.

Besides 1, what sets the factors and the prime factors of the number 735 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.

## Prime Factorization of 735

The prime factorization of 735 is 3 x 5 x 7 x 7. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 735 does not include the number 1, yet it does include every instance of a certain prime factor.

735 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 735 have at least two factorizations.

To illustrate what that means select the rightmost and leftmost integer in 735, 245, 147, 105, 49, 35, 21, 15, 7, 5, 3, 1 and multiply these integers to obtain 735. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 735.

The prime factorization or integer factorization of 735 means determining the set of prime numbers which, when multiplied together, produce the original number 735. This is also known as prime decomposition of 735.

Besides factors for 735, 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 735 by using the search form in the sidebar.

To sum up:

The factors, the prime factors and the prime factorization of 735 mean different things, and in strict terms cannot be used interchangeably despite being closely related.

The factors of seven hundred and thirty-five are: 735, 245, 147, 105, 49, 35, 21, 15, 7, 5, 3, 1. The prime factors of seven hundred and thirty-five are 3, 5, 7. And the prime factorization of seven hundred and thirty-five is 3 x 5 x 7 x 7. Remember that 1 is not a prime factor of 735.

No matter if you had been searching for prime factorization for 735 or prime numbers of 735, you have come to the right page. Also, if you typed what is the prime factorization of 735 in the search engine then you are right here, of course.

Taking all of the above into account, tasks including write 735 as a product of prime factors or list the factors of 735 will no longer pose a challenge to you.

If you have any questions about the factors of seven hundred and thirty-five then fill in the form below and we will respond as soon as possible. If our content concerning all factors of 735 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.

Posted in Factors

## Related pages

prime factorization of 250prime factors of 294common multiples of 6 7 8what is the lcm of 2 and 7gcf of 108what is the prime factorization of 328prime factorization of 462gcf of 48 and 64common multiples of 4 and 9multiplication table 20x20 printableprime factorization of 425prime factors of 240prime factors of 240225 prime factorizationwhat is the gcf of 63 and 42find the prime factorization of 75multiplication tables 1-15what is the lcm of 2 and 4what is the prime factorization of 65prime factorization of 308what is the prime factorization of 315the prime factorization of 144the prime factorization of 72multiplication table up to 200common multiples of 7what are the common multiples of 2 and 340 x 40 multiplication tablemultiplication table chart 1-100lowest common multiple of 72 and 120prime factorization of 280what is the prime factorization of 364easiest way to find the greatest common factorprime factor of 128what is the lcm of 3 and 7what is the gcf of 96 and 84common multiples of 9 and 7the prime factorization of 102what is the prime factor of 92what is the greatest common factor of 64 and 48lcm and gcf finder5x tableswhat is the prime factorization of 221what is the lcm of 2 and 10composite numbers 1 1000the prime factorization of 2003s times tables140 prime factorizationwhat is the lcm of 5 and 6greatest common factor of 42 and 72find the prime factorization of 49what is the prime factorization of 312prime factorization of 120prime factorization of 1122common multiples of 9prime factors of 196gcf of 42 and 66multiplication chart 40x40what is the lcm of 3 5gcf of 90 and 108lcm of 75prime factor of 52prime factorization of 612gcf of 147prime factorization for 108prime factorization 516x tables chartmultiplication chart to 20is 143 a prime numberprime factorization 6645 prime factorizationprime factorization 110prime factorization of 85what is the highest common factor of 48 and 88multiplication table up to 1000the prime factorization of 52