# Prime decomposition of 4004

Here you can find the answer to questions related to: Prime decomposition of 4004 or list the factors of 4004. By using our online calculator to find the prime factors of any composite number and check if a number is prime or composite. This tool also draws the prime factor tree if the number is factorable and smaller than 16000.

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The number 4004 is a composite number because 4004 can be divided by one, by itself and at least by 2, 7, 11 and 13. A composite number is an integer that can be divided by at least another natural number, besides itself and 1, without leaving a remainder (divided exactly).

The factorization or decomposition of 4004 = 22•7•11•13. Notice that here, it is written in exponential form.

The prime factors of 4004 are 2, 7, 11 and 13. It is the list of the integer's prime factors.

The number of prime factors of 4004 is 4.

### Factor tree or prime decomposition for 4004

As 4004 is a composite number, we can draw its factor tree:

## What is prime number? How to factorize a number?

Watch this video below to learn more on prime numbers, prime factors and how you can draw a factor tree.

You can also find this video about factorization at mathantics.com

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