Prime Factors of 685

Looking to get a list of the prime factors of 685? In this article we'll give you all of the information you need, including the definition of the prime factors of 685, how to calculate the prime factors of 685 (also known as the prime factorization of 685). As a bonus, we'll also list out the prime factor tree of 685 the product of prime factors of 685, and tell you how many prime factors 685 has.

Prime Factors of 685 Definition

Every number can be represented as a product of prime numbers. So when we talk aqbout prime factorization of 685, 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 685 are all of the prime numbers in it that when multipled together will equal 685.

Let's look at how to find all of the prime factors of 685 and list them out.

How to Find the Prime Factors of 685

You'll often see the process of finding prime factors of 685 referred to as prime factorization. To get the prime factors of 685 we need to divide 685 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 685. The prime numbers used in this tree are the prime factors of 685. Let's look at the prime factor tree for 685:

  • 685 ÷ 5 = 137
  • 137 ÷ 137 = 1

Put simply, all of the prime numbers that you used to divide above are the prime factors of 685 as well. So what we are left with is the answer to your search, the prime factors of 685:

5, and 137

How Many Prime Factors of 685 Are There?

If we count up all of the prime factors of 685 used in the prime factor tree above, we can see that 685 has a total of 2 prime factors.

Product of Prime Factors of 685

The prime factors shown above (5, and 137) are completely unique to 685. When we multiply all of them together the result will be 685 and this is what we call the product of prime factors of 685. The prime factor products of 685 are listed below:

5 x 137 = 685

So there you have it. A complete guide to the factors of 685. 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 686