diff --git a/Project-Euler/Problem020.js b/Project-Euler/Problem020.js new file mode 100644 index 000000000..fc92df4f9 --- /dev/null +++ b/Project-Euler/Problem020.js @@ -0,0 +1,21 @@ +/* +Factorial digit sum + +n! means n × (n − 1) × ... × 3 × 2 × 1 + +For example, 10! = 10 × 9 × ... × 3 × 2 × 1 = 3628800, +and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27. + +Find the sum of the digits in the number 100! +*/ + +const findFactorialDigitSum = (num) => { + let result = 0 + const stringifiedNumber = factorize(num).toLocaleString('fullwide', { useGrouping: false }) + stringifiedNumber.split('').map(num => { result += Number(num) }) + return result +} + +const factorize = (num) => num === 0 ? 1 : num * factorize(num - 1) + +console.log(findFactorialDigitSum(100))