en.javascript.info/1-js/06-advanced-functions/01-recursion/02-factorial/task.md
Ilya Kantor ab9ab64bd5 up
2017-03-21 14:41:49 +03:00

721 B

importance: 4


Calculate factorial

The factorial of a natural number is a number multiplied by "number minus one", then by "number minus two", and so on till 1. The factorial of n is denoted as n!

We can write a definition of factorial like this:

n! = n * (n - 1) * (n - 2) * ...*1

Values of factorials for different n:

1! = 1
2! = 2 * 1 = 2
3! = 3 * 2 * 1 = 6
4! = 4 * 3 * 2 * 1 = 24
5! = 5 * 4 * 3 * 2 * 1 = 120

The task is to write a function factorial(n) that calculates n! using recursive calls.

alert( factorial(5) ); // 120

P.S. Hint: n! can be written as n * (n-1)! For instance: 3! = 3*2! = 3*2*1! = 6