#include <bits/stdc++.h>

using namespace std;

int main() {
  int T;
  cin >> T;
  assert(T >= 1 && T <= 100);
  while (T--) {
    int H, W, K, ans = 0;
    cin >> H >> W >> K;
    assert(H >= 1 && H <= 1000000);
    assert(W >= 1 && W <= 1000000);
    assert(K >= 1 && K <= 1000000);
    for (int h = 1; h <= H; h++) {
      if (K % h == 0) {
        int w = K / h;
        if (w <= W) {
          ans++;
        }
      }
    }
    cout << ans << endl;
  }
  return 0;
}