Prime Factors of 803

Looking to get a list of the prime factors of 803? In this article we'll give you all of the information you need, including the definition of the prime factors of 803, how to calculate the prime factors of 803 (also known as the prime factorization of 803). As a bonus, we'll also list out the prime factor tree of 803 the product of prime factors of 803, and tell you how many prime factors 803 has.

Prime Factors of 803 Definition

Every number can be represented as a product of prime numbers. So when we talk aqbout prime factorization of 803, 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 803 are all of the prime numbers in it that when multipled together will equal 803.

Let's look at how to find all of the prime factors of 803 and list them out.

How to Find the Prime Factors of 803

You'll often see the process of finding prime factors of 803 referred to as prime factorization. To get the prime factors of 803 we need to divide 803 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 803. The prime numbers used in this tree are the prime factors of 803. Let's look at the prime factor tree for 803:

  • 803 ÷ 11 = 73
  • 73 ÷ 73 = 1

Put simply, all of the prime numbers that you used to divide above are the prime factors of 803 as well. So what we are left with is the answer to your search, the prime factors of 803:

11, and 73

How Many Prime Factors of 803 Are There?

If we count up all of the prime factors of 803 used in the prime factor tree above, we can see that 803 has a total of 2 prime factors.

Product of Prime Factors of 803

The prime factors shown above (11, and 73) are completely unique to 803. When we multiply all of them together the result will be 803 and this is what we call the product of prime factors of 803. The prime factor products of 803 are listed below:

11 x 73 = 803

So there you have it. A complete guide to the factors of 803. 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!

Cite, Link, or Reference This Page

If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!

  • "Prime Factors of 803". Accessed on May 31, 2023.

  • "Prime Factors of 803"., Accessed 31 May, 2023.

  • Prime Factors of 803. Retrieved from

Prime Factors Calculator

Want to find the prime factor for another number? Enter your number below and click calculate.

Find Prime Factors

Next Prime Factor Calculation

Eager to continue your learning of prime factorization? Why not try the next number on our list and see if you can calculate the prime factors of it for yourself?

Prime Factors of 804