## Introduction to Factorial Calculator

As per the factorial definition the factorial is the product of all positive integers which are less than or equal to zero. Factorial value of 0! is 1. **Factorial Sequence calculator** works on the same principle.

Factorial notation calculator makes it easy to calculate factorial variables digitally. **Factorial expression calculator** provides quick and accurate results instantly. You can also find complete factorial tutorial to learn more about its calculations.

## How to calculate factorial manually?

Factorial is a function, involving multiplication of a positive integer by all the preceding numbers till 1, n factorial is represented by n! here, n is a number. In other words, to **find factorial** of 4 i.e. 4!, multiply 4 by the previous numbers till 1.

4! = 4 * 3 * 2 * 1 = 24

This function, means that there are 24 ways of arranging the number 1 through 4 in an ordered sequence. To understand better, let's have a look at a simple example of 2! as

follows:

2! = 2 * 1

2**(two possible combinations)**1,2 and 2,1

Similarly, 1! is equal to 1, as there is no other way to arrange it, rather than just writing as 1.

## Formula used by Prime Factorial Calculator

As per above example of 4!, we know it's equal to 24. Now, we can also relate it with other factorials:

4! = 4 × 3! =24

or

= 4×(4−1)! = 24

The factorial sequence calculator uses below formula:

n! = n×(n−1)!

The above expression is the general factorial formula and is the basic component of this function's definition.

Yet, we are sure this does not explain everything, there is still ambiguity regarding few things. For instance, what happens in case of a negative number? When to stop subtracting numbers?

## Why is it not possible to have a negative Factorial?

The questions raised above can be answered easily by just considering the definition. It clearly states that the formula is only applicable for positive integers, which compels us not to go lower than 1. Factorial expression calculator takes that into consideration but what about the 0!?

To find out, let's put 0 in the expression: 0! = 0 * (0-1)! no matter what it turns out to be, it most likely end up in 0, but things are not that simple in maths. We know that, the n function is only defined for n > 0, so 0! must be equal to 1. **Factorial notation calculator** will not compute results until solving this problem.

To solve this problem, the mathematicians describe (0-1)! as an undefined expression. It means that the expression doesn't make sense, same as division by 0. For convenience, we set 0! = 1 to restore the value of n. The **factorial algebra calculator** follows this criteria and this makes this calculator with factorial very useful and effective.

## Factorial Table:

Factorial | n! | Answer |
---|---|---|

0 factorial | 0! | 1 |

1 factorial | 1! | 1 |

2 factorial | 2! | 2*1=2 |

3 factorial | 3! | 3*2!=6 |

4 factorial | 4! | 4*3!=24 |

5 factorial | 5! | 5*4!=120 |

6 factorial | 6! | 6*5!=720 |

7 factorial | 7! | 7*6!=5040 |

8 factorial | 8! | 8*7!=40,320 |

9 factorial | 9! | 9*8!=362,880 |

10 factorial | 10! | 10*9!=3,628,800 |

As you can see, every next number in the list gets more complicated than previous, it takes a lot of time to compute these numbers by hand. You can use our prime factorial calculator with variables to estimate these larger values within seconds.

## What is a Factorial calculator?

As the values of factorials continue to rise, it becomes difficult to solve it manually. There comes a time where you should need prime factorial calculator with variables to **solve factorial** without spending a lot of time.

The factorials calculator is reliable and accurate as it produce result effiently without any time delay.

## How to find the best Factorial calculator?

There are a lot of **factorial simplification calculators** available online but you need to pick the best factorials calculator. There are two ways through you can find the prime factorial calculator. Either you search on Google to find the best calculator with factorial or you search for Calculatored to have the best factorial expression calculator. Calculatored is an online platform which is made to make your calculations easy.

## How to use Factorial Calculator?

Our prime factorial calculator with variables is very easy to use. What you need to do is to give your value in the field and it will quickly give you the accurate result.

I hope you liked our **factorial sequence calculator** and its article. We also offered many other tools to makes your math learning easy and interesting. So don't forget to send us your feedback so that we could improve if required.