# Prime Factors of 804

Looking to get a list of the prime factors of 804? In this article we'll give you all of the information you need, including the definition of the prime factors of 804, how to calculate the prime factors of 804 (also known as the prime factorization of 804). As a bonus, we'll also list out the prime factor tree of 804 the product of prime factors of 804, and tell you how many prime factors 804 has.

## Prime Factors of 804 Definition

Every number can be represented as a product of prime numbers. So when we talk aqbout prime factorization of 804, we're talking about the building blocks of the number. A prime factor is a positive integer that can only be divided by 1 and itself. The prime factors of 804 are all of the prime numbers in it that when multipled together will equal 804.

Let's look at how to find all of the prime factors of 804 and list them out.

## How to Find the Prime Factors of 804

You'll often see the process of finding prime factors of 804 referred to as prime factorization. To get the prime factors of 804 we need to divide 804 by the smallest prime number possible. You then repeat the same process by taking the result and dividing that number by the smallest prime number. Eventually, you end up with the number 1.

This process creates something called a prime factor tree of 804. The prime numbers used in this tree are the prime factors of 804. Let's look at the prime factor tree for 804:

• 804 ÷ 2 = 402
• 402 ÷ 2 = 201
• 201 ÷ 3 = 67
• 67 ÷ 67 = 1

Put simply, all of the prime numbers that you used to divide above are the prime factors of 804 as well. So what we are left with is the answer to your search, the prime factors of 804:

2, 2, 3, and 67

## How Many Prime Factors of 804 Are There?

If we count up all of the prime factors of 804 used in the prime factor tree above, we can see that 804 has a total of 4 prime factors.

## Product of Prime Factors of 804

The prime factors shown above (2, 2, 3, and 67) are completely unique to 804. When we multiply all of them together the result will be 804 and this is what we call the product of prime factors of 804. The prime factor products of 804 are listed below:

2 x 2 x 3 x 67 = 804

So there you have it. A complete guide to the factors of 804. You should now have the knowledge and skills to go out and calculate your own factors and factor pairs for any number you like.

Feel free to try the calculator below to check another number or, if you're feeling fancy, grab a pencil and paper and try and do it by hand. Just make sure to pick small numbers!

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• "Prime Factors of 804". VisualFractions.com. Accessed on September 21, 2023. http://visualfractions.com/calculator/prime-factors/prime-factors-of-804/.

• "Prime Factors of 804". VisualFractions.com, http://visualfractions.com/calculator/prime-factors/prime-factors-of-804/. Accessed 21 September, 2023.