Prime Factors of 26

Looking to get a list of the prime factors of 26? In this article we'll give you all of the information you need, including the definition of the prime factors of 26, how to calculate the prime factors of 26 (also known as the prime factorization of 26). As a bonus, we'll also list out the prime factor tree of 26 the product of prime factors of 26, and tell you how many prime factors 26 has.

Prime Factors of 26 Definition

Every number can be represented as a product of prime numbers. So when we talk aqbout prime factorization of 26, 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 26 are all of the prime numbers in it that when multipled together will equal 26.

Let's look at how to find all of the prime factors of 26 and list them out.

How to Find the Prime Factors of 26

You'll often see the process of finding prime factors of 26 referred to as prime factorization. To get the prime factors of 26 we need to divide 26 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 26. The prime numbers used in this tree are the prime factors of 26. Let's look at the prime factor tree for 26:

  • 26 ÷ 2 = 13
  • 13 ÷ 13 = 1

Put simply, all of the prime numbers that you used to divide above are the prime factors of 26 as well. So what we are left with is the answer to your search, the prime factors of 26:

2, and 13

How Many Prime Factors of 26 Are There?

If we count up all of the prime factors of 26 used in the prime factor tree above, we can see that 26 has a total of 2 prime factors.

Product of Prime Factors of 26

The prime factors shown above (2, and 13) are completely unique to 26. When we multiply all of them together the result will be 26 and this is what we call the product of prime factors of 26. The prime factor products of 26 are listed below:

2 x 13 = 26

So there you have it. A complete guide to the factors of 26. 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 27