#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

class Comb
{
  int siz, mod;
  std::vector<long long> _fac, _inv, _finv;
public:
  // 引数は (mod)
  Comb(int m) : mod(m), siz(2)
  {
    _fac.resize(siz);
    _inv.resize(siz);
    _finv.resize(siz);
    _fac[0] = _fac[1] = _inv[1] = _finv[0] = _finv[1] = 1;
  }
  long long p(int n, int k)
  {
    if (n < k || k < 0) return 0;
    resize(n + 1);
    return _fac[n] * _finv[n - k] % mod;
  }
  long long c(int n, int k)
  {
    if (n < k || k < 0) return 0;
    resize(n + 1);
    return _fac[n] * _finv[k] % mod * _finv[n - k] % mod;
  }
  long long inv(int n)
  {
    resize(n + 1);
    if (n < 0) return 0;
    else return _inv[n];
  }
  long long fac(int n)
  {
    resize(n + 1);
    if (n < 0) return 0;
    else return _fac[n];
  }
  long long finv(int n)
  {
    resize(n + 1);
    if (n < 0) return 0;
    else return _finv[n];
  }
private:
  void resize(int n)
  {
    if (n <= siz) return;
    for (int i = siz; i < n; ++i)
    {
      _fac.push_back((long long)i * _fac[i - 1] % mod);
      _inv.push_back(mod - _inv[mod % i] * (mod / i) % mod);
      _finv.push_back(_finv[i - 1] * _inv[i] % mod);
    }
    siz = n;
  }
};

int main()
{
  const int mod = 998244353;
  vector<int> pcnt(1e5 + 1), val(1e5 + 1);
  for (int i = 0; i <= 1e5; ++i) val[i] = i;
  for (int i = 2; i <= 1e5; ++i)
  {
    for (int j = 1; i * j <= 1e5; ++j)
    {
      int cnt = 0;
      while (val[i * j] % i == 0)
      {
        val[i * j] /= i;
        ++cnt;
      }
      pcnt[i * j] += cnt;
    }
  }
  int q;
  cin >> q;
  Comb cb(mod);
  int sum = 0;
  while (q--)
  {
    int a, b;
    cin >> a >> b;
    sum += pcnt[a];
    cout << cb.c(sum - 1, b - 1) << endl;
  }
}