#include <bits/stdc++.h>
using namespace std;
typedef signed long long ll;

#define _P(...) (void)printf(__VA_ARGS__)
#define FOR(x,to) for(x=0;x<(to);x++)
#define FORR(x,arr) for(auto& x:arr)
#define FORR2(x,y,arr) for(auto& [x,y]:arr)
#define ALL(a) (a.begin()),(a.end())
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
template<class T> bool chmax(T &a, const T &b) { if(a<b){a=b;return 1;}return 0;}
template<class T> bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;}
//-------------------------------------------------------

int T;
ll X;


void solve() {
	int i,j,k,l,r,x,y; string s;
	
	
	cin>>T;
	while(T--) {
		cin>>X;
		
		ll Y=X;
		ll pat=1;
		
		for(x=2;x<=30;x++) {
			y=1;
			while(Y%x==0) Y/=x, y++;
			pat*=y;
		}
		
		for(k=2;k<=30;k++) {
			ll pat2=1;
			ll Y=X*k;
			for(x=2;x<=30;x++) {
				y=1;
				while(Y%x==0) Y/=x, y++;
				pat2*=y;
			}
			if(pat*2==pat2) break;
		}
		
		cout<<X*k<<endl;
		
	}
}


int main(int argc,char** argv){
	string s;int i;
	if(argc==1) ios::sync_with_stdio(false), cin.tie(0);
	FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin);
	cout.tie(0); solve(); return 0;
}