#include <bits/stdc++.h>
using namespace std;
using ll = long long;
struct custom_hash {
  static uint64_t splitmix64(uint64_t x) {
    x += 0x9e3779b97f4a7c15;
    x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
    x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
    return x ^ (x >> 31);
  }
  size_t operator()(uint64_t x) const {
    static const uint64_t FIXED_RANDOM =
        chrono::steady_clock::now().time_since_epoch().count();
    return splitmix64(x + FIXED_RANDOM);
  }
};
int main() {
  int t;
  cin >> t;
  while (t--) {
    int n;
    cin >> n;
    if (n <= 30)
      cout << "NO"
           << "\n";
    else {
      cout << "YES"
           << "\n";
      if (n - 30 == 6 || n - 30 == 10 || n - 30 == 14)
        cout << "6"
             << " "
             << "10"
             << " "
             << "15"
             << " " << n - 31 << "\n";
      else
        cout << "6"
             << " "
             << "10"
             << " "
             << "14"
             << " " << n - 30 << "\n";
    }
  }
}
