#include <algorithm>
#include <array>
#include <atomic>
#include <bit>
#include <cassert>
#include <chrono>
#include <climits>
#include <cmath>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <filesystem>
#include <format>
#include <fstream>
#include <functional>
#include <ios>
#include <iostream>
#include <iterator>
#include <map>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <string>
#include <unordered_set>
#include <utility>
#include <vector>

#ifdef DYNAMIC_PIGEON
#include "algo/debug.h"
#else
#define debug(...) 114514
#define dprint(...) 114514
#endif

#define Dynamic_Pigeon 0

using i64 = std::int64_t;
using u64 = std::uint64_t;
using u32 = std::uint32_t;
using std::cin;
using std::cout;
using std::string;
using std::vector;

constexpr i64 MOD = 998244353;
constexpr int INF = 0x3f3f3f3f;
constexpr i64 INF_LONG_LONG = 0x3f3f3f3f3f3f3f3f;

#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define print(s, ...) std::cout << std::format(s, ##__VA_ARGS__)

std::map<i64, vector<int>> fp;

void I_LOVE_YOU() {
  i64 n;
  cin >> n;

  {
    auto it = fp.find(n);
    if (it != fp.end()) {
      i64 p = it->second.back();
      int cnt = 0;
      i64 t = n;
      while (t) {
        if (t % p == 0) {
          cnt++;
        }
        t /= p;
      }
      print("{} {}\n", cnt, it->second.size());
      for (auto x : it->second) {
        cout << x << " ";
      }
      cout << "\n";
      return;
    }
  }

  int max = 0;
  vector<int> ans;
  i64 p = 2;
  for (; p * p * p * p <= n; p++) {
    int cnt = 0;
    i64 t = n;
    while (t) {
      if (t % p == 0) {
        cnt++;
      }
      t /= p;
    }
    if (cnt > max) {
      ans.clear();
      ans.push_back(p);
      max = cnt;
    } else if (cnt == max) {
      ans.push_back(p);
    }
  }

  if (max >= 4) {
    print("{} {}\n", max, ans.size());
    for (auto x : ans) {
      cout << x << " ";
    }
    cout << "\n";
    fp[n] = ans;
    return;
  }

  for (; p * p * p <= n; p++) {
    int cnt = 0;
    i64 t = n;
    while (t) {
      if (t % p == 0) {
        cnt++;
      }
      t /= p;
    }
    if (cnt > max) {
      ans.clear();
      ans.push_back(p);
      max = cnt;
    } else if (cnt == max) {
      ans.push_back(p);
    }
  }

  if (max >= 3) {
    print("{} {}\n", max, ans.size());
    for (auto x : ans) {
      cout << x << " ";
    }
    cout << "\n";
    fp[n] = ans;
    return;
  }

  for (; p * p <= n; p++) {
    int cnt = 0;
    i64 t = n;
    while (t) {
      if (t % p == 0) {
        cnt++;
      }
      t /= p;
    }
    if (cnt > max) {
      ans.clear();
      ans.push_back(p);
      max = cnt;
    } else if (cnt == max) {
      ans.push_back(p);
    }
  }

  if (max >= 2) {
    print("{} {}\n", max, ans.size());
    for (auto x : ans) {
      cout << x << " ";
    }
    cout << "\n";
    fp[n] = ans;
    return;
  }

  for (i64 i = 1; i * i <= n; i++) {
    if (n % i == 0) {
      i64 p = n / i;
      int cnt = 0;
      i64 t = n;
      while (t) {
        if (t % p == 0) {
          cnt++;
        }
        t /= p;
      }
      if (cnt > max) {
        ans.clear();
        ans.push_back(p);
        max = cnt;
      } else if (cnt == max) {
        ans.push_back(p);
      }
    }
  }
  std::sort(all(ans));
  ans.resize(std::unique(all(ans)) - ans.begin());
  fp[n] = ans;
  print("{} {}\n", max, ans.size());
  for (auto x : ans) {
    cout << x << " ";
  }
  cout << "\n";
}

signed main() {
#ifdef DYNAMIC_PIGEON
  freopen("input.in", "r", stdin);
#else
  std::cin.tie(0)->sync_with_stdio(0);
#endif
  int t = 1;
  cin >> t;
  while (t--) {
    I_LOVE_YOU();
  }
  return Dynamic_Pigeon;
}

answer.code: In function ‘void I_LOVE_YOU()’:
answer.code:54:41: error: ‘format’ is not a member of ‘std’
   54 | #define print(s, ...) std::cout << std::format(s, ##__VA_ARGS__)
      |                                         ^~~~~~
answer.code:74:7: note: in expansion of macro ‘print’
   74 |       print("{} {}\n", cnt, it->second.size());
      |       ^~~~~
answer.code:54:41: error: ‘format’ is not a member of ‘std’
   54 | #define print(s, ...) std::cout << std::format(s, ##__VA_ARGS__)
      |                                         ^~~~~~
answer.code:105:5: note: in expansion of macro ‘print’
  105 |     print("{} {}\n", max, ans.size());
      |     ^~~~~
answer.code:54:41: error: ‘format’ is not a member of ‘std’
   54 | #define print(s, ...) std::cout << std::format(s, ##__VA_ARGS__)
      |                                         ^~~~~~
answer.code:133:5: note: in expansion of macro ‘print’
  133 |     print("{} {}\n", max, ans.size());
      |     ^~~~~
answer.code:54:41: error: ‘format’ is not a member of ‘std’
   54 | #define print(s, ...) std::cout << std::format(s, ##__VA_ARGS__)
      |                                         ^~~~~~
answer.code:161:5: note: in expansion of macro ‘print’
  161 |     print("{} {}\n", max, ans.size());
      |     ^~~~~
answer.code:54:41: error: ‘format’ is not a member of ‘std’
   54 | #define print(s, ...) std::cout << std::format(s, ##__VA_ARGS__)
      |                                         ^~~~~~
answer.code:193:3: note: in expansion of macro ‘print’
  193 |   print("{} {}\n", max, ans.size());
      |   ^~~~~