Factorial Calculator is a tool that helps you calculate the factorial of a given number. It is a simple and easy-to-use tool that can be used by anyone who needs to calculate factorials. In this article, we will discuss the concepts, formulae, benefits, and interesting facts about Factorial Calculator.

Concepts

Factorial Calculator is based on the concept of factorials. A factorial is the product of all positive integers less than or equal to a given positive integer. For example, the factorial of 5 is 5 × 4 × 3 × 2 × 1 = 120. Factorials are denoted by the exclamation mark (!) after a number. For example, 5! means the factorial of 5.

Formulae

The formula used by Factorial Calculator to calculate the factorial of a given number is as follows:

n! = n × (n – 1) × (n – 2) × … × 2 × 1

Here, n is the given number.

Benefits

Factorial Calculator has several benefits. Some of them are:

1. Accuracy: Factorial Calculator provides accurate factorial values. It uses a simple formula to perform the calculation, which ensures that the results are accurate.
2. Ease of use: Factorial Calculator is a simple and easy-to-use tool. It does not require any special skills or knowledge to use. Anyone can use it to calculate factorials.
3. Time-saving: Factorial Calculator is a time-saving tool. It can perform the calculation quickly and accurately, which saves time and effort.
4. Convenience: Factorial Calculator is a convenient tool. It can be used anywhere and anytime, as long as you have access to the internet.

Interesting Facts

Here are some interesting facts about Factorial Calculator:

1. The concept of factorials has been discovered in several ancient cultures, notably in Indian mathematics in the canonical works of Jain literature, and by Jewish mystics in the Talmudic book Sefer Yetzirah.
2. Factorials have many applications in mathematics, including combinatorics, probability theory, and number theory.
3. The factorial of a number grows very quickly as the number increases. For example, the factorial of 10 is 3,628,800, while the factorial of 100 is 9.332621544 × 10^157.

References

Here are some scholarly references related to Factorial Calculator:

1. Hardy, G. H. (2008). An introduction to the theory of numbers. Oxford University Press.
2. Knuth, D. E. (1997). The art of computer programming: Volume 1: Fundamental algorithms (3rd ed.). Addison-Wesley Professional.
3. Graham, R. L., Knuth, D. E., & Patashnik, O. (1994). Concrete mathematics: A foundation for computer science (2nd ed.). Addison-Wesley Professional.