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Print all combinations of factors in C++
In this problem, we are given a number n. Our task is to print all combinations of factors of n.
Let’s take an example to understand the topic better −
Input: 24 Output: 2 2 2 3 2 4 3 8 3 4 6 2 12
For this, we will use recursion function which will find a combination of factors of the number. And we will store all our combinations in an array of array.
Example
This code will show the implementation of our solution.
#include<bits/stdc++.h>
using namespace std;
vector<vector<int>> factor_Combo;
void genreateFactorCombinations(int first, int eachFactor, int n, vector<int>factor) {
if (first>n || eachFactor>n)
return;
if (eachFactor == n){
factor_Combo.push_back(factor);
return;
}
for (int i = first; i < n; i++) {
if (i*eachFactor>n)
break;
if (n % i == 0){
factor.push_back(i);
genreateFactorCombinations(i, i*eachFactor, n, factor);
factor.pop_back();
}
}
}
void printcombination() {
for (int i = 0; i < factor_Combo.size(); i++){
for (int j = 0; j < factor_Combo[i].size(); j++)
cout<<factor_Combo[i][j]<<"\t";
cout<<endl;
}
}
int main() {
int n = 24;
vector<int>single_result_list;
cout<<"All Factor combinations of "<<n<<" are :\n";
genreateFactorCombinations(2, 1, n, single_result_list);
printcombination();
return 0;
}Output
All Factor combinations of 24 are − 2 2 2 3 2 2 6 2 3 4 2 12 3 8 4 6
Updated on: 22-Jan-2020
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