Listing Factors of Numbers in JavaScript

What are Factors

Factors are the complete set of integers that will divide a particular number without remainder.
Take 36 as an example, it's complete set are:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

Other than prime numbers, every other number has at least one factor - not considering 1 as factor.
Where there is just one factor, then this factor is the square root of the number in question;

Code for Factorising Numbers in JavaScript

Actually, we've been doing factors over the last two demonstrations (lessons).

We'll simply check for our factors using the square-root of number range.
We'll start from 1 (which is always a factor).
For each found factor, we'll get the corresponding complementary factor by dividing the number (whose factors we are trying to find), by the found factor.

Create a new file; On Notepad++: File, New.
Call it ListFactors.html.
Type out the adjoining JavaScript code for listing factors.

JavaScript code for ListFactors.html

<!DOCTYPE html>

<html lang="en">
    <head>
        <meta charset="utf-8" />
        <title>Listing The Factors Of A Number.</title>
    </head>
    <body>
        <h4>Factors of any number are those numbers that can divide
            the number under question without remainder.</h4>
        <div id="my_factors"></div>

        <script>
            var find_my_factors = 48;
            var found_factors = [];
            // 'count' acts as both index into array 'found_factor' and count of number of factors found
            var count = 0;
            var square_root_range = Math.sqrt(find_my_factors); // Use this range for our loop
            square_root_range = Math.ceil(square_root_range);
            var i = 1;

            /*
             * Loop through 1 to 'find_my_factors' and test for divisibility.
             */
            for (; i < square_root_range; i++) {
                if ((find_my_factors % i) == 0) {
                    found_factors[count++] = i;
                    /* Get the complementing factor by dividing 'find_my_factor' by variable i. */
                    found_factors[count++] = find_my_factors / i;
                }
            }

            // Sort the array in ascending order; Not entirely necessary.
            found_factors.sort(
                    function (a, b) {
                        return a - b;
                    }
            );

            document.getElementById("my_factors").innerHTML =
                    "The factors of " + find_my_factors + " are: <br />" + found_factors.join(", ");
        </script>
    </body>
</html>

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