prime factorization bruteforce approach
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
void prime_divisor(ll n)
{
ll i;
for(i=2;i<=n;i++)
{
if(n%i==0)
{
ll cnt=0;
while(n%i==0)
{
cnt++;
n/=i;
}
cout<<i<<"^"<<cnt<<endl;
}
}
}
int main()
{
ll n;
cin>>n;
prime_divisor(n);
}
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