Factors of 680

So you need to find the factors of 680 do you? In this quick guide we'll describe what the factors of 680 are, how you find them and list out the factor pairs of 680 for you to prove the calculation works. Let's dive in!

Factors of 680 Definition

When we talk about the factors of 680, what we really mean is all of the positive and negative integers (whole numbers) that can be evenly divided into 680. If you were to take 680 and divide it by one of its factors, the answer would be another factor of 680.

Let's look at how to find all of the factors of 680 and list them out.

How to Find the Factors of 680

We just said that a factor is a number that can be divided equally into 680. So the way you find and list all of the factors of 680 is to go through every number up to and including 680 and check which numbers result in an even quotient (which means no decimal place).

Doing this by hand for large numbers can be time consuming, but it's relatively easy for a computer program to do it. Our calculator has worked this out for you. Here are all of the factors of 680:

  • 680 ÷ 1 = 680
  • 680 ÷ 2 = 340
  • 680 ÷ 4 = 170
  • 680 ÷ 5 = 136
  • 680 ÷ 8 = 85
  • 680 ÷ 10 = 68
  • 680 ÷ 17 = 40
  • 680 ÷ 20 = 34
  • 680 ÷ 34 = 20
  • 680 ÷ 40 = 17
  • 680 ÷ 68 = 10
  • 680 ÷ 85 = 8
  • 680 ÷ 136 = 5
  • 680 ÷ 170 = 4
  • 680 ÷ 340 = 2
  • 680 ÷ 680 = 1

All of these factors can be used to divide 680 by and get a whole number. The full list of positive factors for 680 are:

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, and 680

Negative Factors of 680

Technically, in math you can also have negative factors of 680. If you are looking to calculate the factors of a number for homework or a test, most often the teacher or exam will be looking for specifically positive numbers.

However, we can just flip the positive numbers into negatives and those negative numbers would also be factors of 680:

-1, -2, -4, -5, -8, -10, -17, -20, -34, -40, -68, -85, -136, -170, -340, and -680

How Many Factors of 680 Are There?

As we can see from the calculations above there are a total of 16 positive factors for 680 and 16 negative factors for 680 for a total of 32 factors for the number 680.

There are 16 positive factors of 680 and 16 negative factors of 680. Wht are there negative numbers that can be a factor of 680?

Factor Pairs of 680

A factor pair is a combination of two factors which can be multiplied together to equal 680. For 680, all of the possible factor pairs are listed below:

  • 1 x 680 = 680
  • 2 x 340 = 680
  • 4 x 170 = 680
  • 5 x 136 = 680
  • 8 x 85 = 680
  • 10 x 68 = 680
  • 17 x 40 = 680
  • 20 x 34 = 680

Just like before, we can also list out all of the negative factor pairs for 680:

  • -1 x -680 = 680
  • -2 x -340 = 680
  • -4 x -170 = 680
  • -5 x -136 = 680
  • -8 x -85 = 680
  • -10 x -68 = 680
  • -17 x -40 = 680
  • -20 x -34 = 680

Notice in the negative factor pairs that because we are multiplying a minus with a minus, the result is a positive number.

So there you have it. A complete guide to the factors of 680. 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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