Factors of 169

So you need to find the factors of 169 do you? In this quick guide we'll describe what the factors of 169 are, how you find them and list out the factor pairs of 169 for you to prove the calculation works. Let's dive in!

Want to quickly learn or show students how to find the factors of 169? Play this very quick and fun video now!

Factors of 169 Definition

When we talk about the factors of 169, what we really mean is all of the positive and negative integers (whole numbers) that can be evenly divided into 169. If you were to take 169 and divide it by one of its factors, the answer would be another factor of 169.

Let's look at how to find all of the factors of 169 and list them out.

How to Find the Factors of 169

We just said that a factor is a number that can be divided equally into 169. So the way you find and list all of the factors of 169 is to go through every number up to and including 169 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 169:

  • 169 ÷ 1 = 169
  • 169 ÷ 13 = 13
  • 169 ÷ 169 = 1

All of these factors can be used to divide 169 by and get a whole number. The full list of positive factors for 169 are:

1, 13, and 169

Negative Factors of 169

Technically, in math you can also have negative factors of 169. 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 169:

-1, -13, and -169

How Many Factors of 169 Are There?

As we can see from the calculations above there are a total of 3 positive factors for 169 and 3 negative factors for 169 for a total of 6 factors for the number 169.

There are 3 positive factors of 169 and 3 negative factors of 169. Wht are there negative numbers that can be a factor of 169?

Factor Pairs of 169

A factor pair is a combination of two factors which can be multiplied together to equal 169. For 169, all of the possible factor pairs are listed below:

  • 1 x 169 = 169
  • 13 x 13 = 169

We have also written a guide that goes into a little more detail about the factor pairs for 169 in case you are interested!

Just like before, we can also list out all of the negative factor pairs for 169:

  • -1 x -169 = 169
  • -13 x -13 = 169

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 169. 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!

  • "Factors of 169". VisualFractions.com. Accessed on June 14, 2024. http://visualfractions.com/calculator/factors/factors-of-169/.

  • "Factors of 169". VisualFractions.com, http://visualfractions.com/calculator/factors/factors-of-169/. Accessed 14 June, 2024.

  • Factors of 169. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/factors/factors-of-169/.

Factors Calculator

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

Find Factors

Next Factor Calculation

Factors of 170