#include <bits/stdc++.h>
using namespace std;
int main() {
  int t, a;
  cin >> t;
  while (t--) {
    cin >> a;
    int f1 = 0, f2 = 0, rs1, rs2, rs3;
    for (int i = 2; i < min(a, 100000); i++) {
      if (a % i == 0) {
        a = a / i;
        f1 = 1;
        rs1 = i;
        for (int j = i + 1; j < min(a, 100000); j++) {
          if (a % j == 0) {
            a = a / j;
            f2 = 1;
            rs2 = j;
            rs3 = a;
            break;
          }
        }
        break;
      }
    }
    if (f1 == 1 && f2 == 1) {
      if (rs1 < rs2 && rs2 < rs3 && rs1 < rs3) {
        cout << "YES" << endl;
        cout << rs1 << " " << rs2 << " " << rs3 << endl;
      } else {
        cout << "NO" << endl;
      }
    } else {
      cout << "NO" << endl;
    }
  }
  return 0;
}
