Etymology:
The word "factorial" comes from the Latin word "factor", which means "maker" or "doer". In mathematics, a factorial is an operation that multiplies a given number by all the positive integers less than it.
Meaning:
A factorial is a mathematical function that returns the product of all positive integers up to a specified integer. It is represented by the symbol "!", which is placed after the number being multiplied.
Origin:
The concept of the factorial originated in the 17th century with the work of mathematicians such as Pierre de Fermat and Leonhard Euler. Fermat introduced the concept of "factored numbers" as a means of solving certain problems in number theory. Euler later expanded on this concept and developed the modern notation and understanding of the factorial function.
Explanation:
For example, the factorial of 5 (written as 5!) is calculated as follows:
5! = 5 x 4 x 3 x 2 x 1 = 120
Factorials are used in various areas of mathematics, including probability, statistics, and calculus. They are also used in computer science and other disciplines.
Etymology Latin factum a deed act event Past participle of facere to do make
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