How to Find 24 Factorial

Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After reading this lesson, you'll know how to find 24 factorial, the math notation to use, and how it's used in the real world. Also learn how it can help you with your statistics problems.

The Steps

When you come across a factorial problem in math, you'll see an exclamation symbol (!) to represent the factorial. In math, we define factorial as the product of a certain integer with all the positive integers below it. So, 3! is 3 * 2 * 1. So, 24! is 24 * 23 * 21 * all the way down to * 1.

In this lesson, you'll learn to solve for 24!. To do this, follow these steps.

Step 1: Write down 24 times all the numbers under it.

The first step involves writing down all the integers you are multiplying together starting with 24 and going all the way down to 1. You'll have this:


24 factorial


Step 2: Multiply all the numbers out.

In the second step, you'll multiply all your numbers together. Although you can do this by hand, it is probably easier to do so with the help of a calculator. But, if you are taking a test that doesn't allow you to use a calculator, then you'll have to spend the time multiplying it all out by hand. Usually on tests, you'll only be asked to multiply out by hand the factorials of small numbers such as 2, 3, 4, 5, etc.

The Solution

After follow the above two steps and multiplying everything out, your answer is this:


24 factorial


As you can see, this is a rather large number, so multiplying it out by hand is a fairly tedious process. Alternately, if you happen to have a scientific or graphing calculator with a factorial function, then you can use that instead to easily find your 24!. In fact, you'll be able to use your calculator to calculate any factorial. On a calculator, this function can be labeled as n!, x!, or with the word factorial. Each calculator is different, so you'll have to check your user manual to find out exactly how your calculator labels this function.

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