#include<bits/stdc++.h>

//#pragma GCC optimize("O3")
//#pragma GCC target("sse4")

#define int long long
#define pb push_back
#define fr first
#define sc second
#define _ << ' ' <<
#define pairs pair<int, int>

const int mod = 1e9 + 7;

typedef long long ll;
typedef long double ld;

using namespace std;

void solve(){
    int n;
    cin >> n;
    int a = -1, b = -1;

    int i = 2, pos = 1;

    while(i * i <= n && n != 1){
        while(n % i == 0){
            if(a == -1){
                a = i;
            }
            else{
               pos *= i;
               if(pos != a){
                    b = pos;
                    n /= i;
                    break;
               }
            }
            n/=i;
        }
        i++;
    }
    if(a != -1 && b != -1 && a != b && a != n && b != n && n != 1){
        cout << "YES\n";
        cout << a << ' ' << b << ' ' << n << '\n';
    }
    else cout << "NO\n";
}
signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int t = 1;
    cin >> t;
    while(t--){
        solve();
    }
}