Factors of 123

So you need to find the factors of 123 do you? In this quick guide we'll describe what the factors of 123 are, how you find them and list out the factor pairs of 123 for you to prove the calculation works. Let's dive in!

Factors of 123 Definition

When we talk about the factors of 123, what we really mean is all of the positive and negative integers (whole numbers) that can be evenly divided into 123. If you were to take 123 and divide it by one of its factors, the answer would be another factor of 123.

Let's look at how to find all of the factors of 123 and list them out.

How to Find the Factors of 123

We just said that a factor is a number that can be divided equally into 123. So the way you find and list all of the factors of 123 is to go through every number up to and including 123 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 123:

  • 123 ÷ 1 = 123
  • 123 ÷ 3 = 41
  • 123 ÷ 41 = 3
  • 123 ÷ 123 = 1

All of these factors can be used to divide 123 by and get a whole number. The full list of positive factors for 123 are:

1, 3, 41, and 123

Negative Factors of 123

Technically, in math you can also have negative factors of 123. 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 123:

-1, -3, -41, and -123

How Many Factors of 123 Are There?

As we can see from the calculations above there are a total of 4 positive factors for 123 and 4 negative factors for 123 for a total of 8 factors for the number 123.

There are 4 positive factors of 123 and 4 negative factors of 123. Wht are there negative numbers that can be a factor of 123?

Factor Pairs of 123

A factor pair is a combination of two factors which can be multiplied together to equal 123. For 123, all of the possible factor pairs are listed below:

  • 1 x 123 = 123
  • 3 x 41 = 123

Just like before, we can also list out all of the negative factor pairs for 123:

  • -1 x -123 = 123
  • -3 x -41 = 123

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 123. 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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Factors of 124