CountFactors.md

A positive integer D is a factor of a positive integer N if there exists an integer M such that N = D * M.

For example, 6 is a factor of 24, because M = 4 satisfies the above condition (24 = 6 * 4).

Write a function:

function solution(N);

that, given a positive integer N, returns the number of its factors.

For example, given N = 24, the function should return 8, because 24 has 8 factors, namely 1, 2, 3, 4, 6, 8, 12, 24. There are no other factors of 24.

Assume that:

• N is an integer within the range [1..2,147,483,647].

Complexity:

• expected worst-case time complexity is O(sqrt(N));
• expected worst-case space complexity is O(1).

function solution(N) {
  var i;
	var NumFactors = 0;

	for(i = 1;i*i < N; i++) {
		if(N%i == 0) NumFactors += 2;
	}

	if(i*i == N) NumFactors++;

	return NumFactors
}