Finding three desired consecutive numbers in JavaScript

We are required to write a JavaScript function that takes in a Number, say n, and we are required to check whether there exist such three consecutive natural numbers (not decimal/floating point) whose sum equals to n.

If there exist such numbers, our function should return them, otherwise it should return false.

Example

The code for this will be −

const sum = 54;
const threeConsecutiveSum = sum => {
   if(sum < 6 || sum % 3 !== 0){
      return false;
   }
   // three numbers will be of the form:
   // x + x + 1 + x + 2 = 3 * x + 3
   const residue = sum - 3;
   const num = residue / 3;
   return [num, num+1, num+2];
};
console.log(threeConsecutiveSum(sum));

Output

Following is the output on console −

[ 17, 18, 19 ]