#include <iostream>
#include <vector>
#include <boost/multiprecision/cpp_int.hpp>

using namespace std;

using bigint = boost::multiprecision::cpp_int;

constexpr int lg = 40;
constexpr long long mod = 998244353;

bool is_big(long long a, long long b, long long c, long long d){
  if(a * d > b * c){
    return true;
  }
  return false;
}

void solve(){
  long long a, b, c;
  cin >> a >> b >> c;
  vector<long long> v(lg, 0);
  bigint state = 1;
  for(int i = 0; i < lg; i++){
    if(i > 0){
      v[i] = v[i - 1];
    }
    while(state % c == 0){
      state /= c;
      v[i]++;
    }
    state *= a;
  }
  if(v[lg - 1] == 0){
    cout << 0 << "\n";
    return;
  }
  int arg = 1;
  for(int i = 2; i < lg; i++){
    if(is_big(v[i], i, v[arg], arg)){
      arg = i;
    }
  }
  cout << ((v[arg] * b) / arg) % mod << "\n";
}

int main(){
  int t;
  cin >> t;
  while(t--){
    solve();
  }
}