# Prime Factors of 309

Looking to get a list of the prime factors of 309? In this article we'll give you all of the information you need, including the definition of the prime factors of 309, how to calculate the prime factors of 309 (also known as the prime factorization of 309). As a bonus, we'll also list out the prime factor tree of 309 the product of prime factors of 309, and tell you how many prime factors 309 has.

## Prime Factors of 309 Definition

Every number can be represented as a product of prime numbers. So when we talk aqbout prime factorization of 309, 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 309 are all of the prime numbers in it that when multipled together will equal 309.

Let's look at how to find all of the prime factors of 309 and list them out.

## How to Find the Prime Factors of 309

You'll often see the process of finding prime factors of 309 referred to as prime factorization. To get the prime factors of 309 we need to divide 309 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 309. The prime numbers used in this tree are the prime factors of 309. Let's look at the prime factor tree for 309:

• 309 ÷ 3 = 103
• 103 ÷ 103 = 1

Put simply, all of the prime numbers that you used to divide above are the prime factors of 309 as well. So what we are left with is the answer to your search, the prime factors of 309:

3, and 103

## How Many Prime Factors of 309 Are There?

If we count up all of the prime factors of 309 used in the prime factor tree above, we can see that 309 has a total of 2 prime factors.

## Product of Prime Factors of 309

The prime factors shown above (3, and 103) are completely unique to 309. When we multiply all of them together the result will be 309 and this is what we call the product of prime factors of 309. The prime factor products of 309 are listed below:

3 x 103 = 309

So there you have it. A complete guide to the factors of 309. 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 309". VisualFractions.com. Accessed on December 3, 2023. http://visualfractions.com/calculator/prime-factors/prime-factors-of-309/.

• "Prime Factors of 309". VisualFractions.com, http://visualfractions.com/calculator/prime-factors/prime-factors-of-309/. Accessed 3 December, 2023.