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factorial.js
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51 lines (37 loc) · 828 Bytes
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// // Factorial of a number.
// // 5 => 120
// // 5 * 4 * 3 * 2 * 1
// // n * (n - 1)
// // 6 * 5 * 4 * 3 * 2 * 1
// // 5i = 5 * (5 - 1)!
// // 5i = 5 * 4i
// // 5i = 5 * (4 * (4 - 1)!)
// // 5i = 5 * 4 * 3i
// // 5i = 5 * 4 * 3 * (2 - 1)!
// // 5i = 5 * 4 * 3 * 2
function getFactorial(n) {
let result = 1;
while (n > 1) {
result *= n;
n -= 1;
}
return result;
}
// f(x)
// g(x)
let x = 5;
let factorial = getFactorial(x);
console.log(x + ' factorial is: ' + factorial);
// Recursive Functions.
// Function calling itself.
// 5i = 5 * 4 * 3 * 2
function getFactorialRecursively(n) {
let result = n;
if (n > 1) {
result = result * getFactorialRecursively(n - 1);
}
return result;
}
let number = 5;
let factorialResult = getFactorialRecursively(number);
console.log(number + '! = ' + factorialResult);