#include <bits/stdc++.h>
using namespace std;
const long long mod = 1e9 + 7;
const long long mod1 = 998244353;
const double pie = 3.1415926535;
long long power(long long x, long long y) {
  if (y == 0)
    return 1;
  else {
    if (y % 2 == 0)
      return power(x * x, y / 2);
    else
      return x * power(x * x, (y - 1) / 2);
  }
}
long long mod_power(long long x, long long y, long long m) {
  long long r = 1;
  x = x % m;
  if (x == 0) return 0;
  while (y > 0) {
    if (y & 1) r = (r * x) % m;
    y = y / 2;
    x = (x * x) % m;
  }
  return r;
}
long long gcd(long long x, long long y) {
  if (y == 0) return x;
  return gcd(y, x % y);
}
vector<long long> extended_Euclid(long long a, long long b) {
  vector<long long> v(3);
  if (b == 0) {
    v[0] = a;
    v[1] = 1;
    v[2] = 0;
    return v;
  } else {
    vector<long long> v1 = extended_Euclid(b, a % b);
    v[0] = v1[0];
    v[1] = v1[2];
    v[2] = v1[1] - (a / b) * v1[2];
    return v;
  }
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  long long sum = 6 + 10 + 14;
  int TESTS = 1;
  cin >> TESTS;
  while (TESTS--) {
    long long n;
    cin >> n;
    if (n <= sum)
      cout << "NO" << endl;
    else {
      long long x = n - sum;
      long long y = n - sum - 1;
      if (x != 6 && x != 10 && x != 14) {
        cout << "YES" << endl;
        cout << 6 << " " << 10 << " " << 14 << " " << x << endl;
      } else if (y > 0 && y != 6 && y != 10 && y != 15) {
        cout << "YES" << endl;
        cout << 6 << " " << 10 << " " << 15 << " " << y << endl;
      } else
        cout << "NO" << endl;
    }
  }
}
