Factor Combinations
public List<List<Integer>> getFactors(int n) {
List<List<Integer>> result = new ArrayList();
if (n <= 3) return result;
helper(n, -1, result, new ArrayList<Integer>());
return result;
}
// Because the largest factor is no more than sqaure root of the number
private void helper(int n, int lower, List<List<Integer>> result, List<Integer> current) {
if (lower != -1) {
current.add(n);
result.add(new ArrayList<Integer>(current));
current.remove(current.size() - 1);
}
int upper = (int)Math.sqrt(n);
for (int i = Math.max(2, lower); i <= upper; i++) {
// if i is a factor
if (n % i == 0) {
current.add(i);
helper(n / i, i, result, current);
current.remove(current.size() - 1);
}
}
}