#include <bits/stdc++.h>
using namespace std;
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  int i, j, t, n;
  cin >> t;
  while (t--) {
    cin >> n;
    if (n == 1) {
      cout << "NO" << endl;
      continue;
    }
    int m = n;
    map<int, int> mp;
    vector<int> v;
    for (i = 2; i <= sqrt(n) + 1 && m > 1; i++) {
      if (m % i == 0)
        v.push_back(i);
      else
        continue;
      while (m % i == 0) {
        m /= i;
        mp[i]++;
      }
    }
    if (m != 1) {
      v.push_back(m);
      mp[m]++;
    }
    if (v.size() == 0) {
      cout << "NO" << endl;
      continue;
    }
    if (v.size() > 2) {
      cout << "YES" << endl;
      cout << v[0] << " ";
      n /= v[0];
      cout << v[1] << " ";
      n /= v[1];
      cout << n << endl;
      continue;
    }
    if (v.size() == 1) {
      int x = mp[v[0]];
      if (x < 6) {
        cout << "NO" << endl;
        continue;
      }
      int y = v[0];
      n /= pow(y, 3);
      cout << "YES" << endl;
      cout << y << " " << y * y << " " << n << endl;
      continue;
    } else {
      int x = mp[v[0]], y = mp[v[1]];
      if ((x < 2 && y < 2) || x + y < 4) {
        cout << "NO" << endl;
        continue;
      }
      cout << "YES" << endl;
      n /= (v[0] * v[1]);
      cout << v[1] << " " << v[0] << " " << n << endl;
      continue;
    }
  }
  return 0;
}
