Unique combination of factors

factor_combo.js

/*
PrintFactors(12)
12 * 1
6 * 2 // 2 * 6 ( 2 * 2 * 3)
4 * 3
3 * 2 * 2 ( 3 * 4)

PrintFactors(32)
32 * 1
16 * 2
8 * 4
8 * 2 * 2
4 * 4 * 2
4 * 2 * 2 * 2
2 * 2 * 2 * 2 * 2


PrintFactors(12) = 12 * PrintFactors(1)
PrintFactors(12) = 3 * PrintFactors(4)
PrintFactors(4) = 2 * PrintFactors(2)

var stack = [];

PrintFactors(2)
2  * 1* 1

PrintFactors(1)
1 * 1
*/

function factors(n) {
    // n = 12,
    var stack = [];
    console.log(n + ' * 1');

    printFactors(n, n / 2, stack);
}

function printFactors(n, largestFactor, stack) {

    if (n === 1) {
        console.log(stack.join(' * '));
        return;
    }

    for (var i = largestFactor; i > 1; --i) {
        if (n % i === 0) {
            stack.push(i);
            printFactors(n / i, i , stack);
            stack.pop(i);
        }
    }
}

factors(1);
factors(2);
factors(32);