#include <bits/stdc++.h>
using namespace std;
typedef vector<int> VI;
typedef pair <int,int> ii;
typedef long long LL;
#define pb push_back
const int INF = 2147483647;
const int N = 1000005;

int y, a, i, z;
VI v;
LL x;

int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);

cin >> z;
while(z--) {
	cin >> x >> y;
	v.clear();
	a = x;
	for (i=2;i*i<=a;i++) if (a % i == 0) {
		while (a % i == 0) {
			a /= i;
			v.pb(i);
		}
	}
	if (a > 1) v.pb(a);
	while (y > 0 && v[0] != v.back()) {
		x *= v[0];
		y--;
		//cout << " " << x << endl;
		if (y > 0) {
			x /= v.back();
			v.pop_back();
			y--;
		}
		//cout << x << endl;
	}
	if (y % 2 == 1) x *= v[0];
	cout << x << endl;
}
return 0;
}