#include <bits/stdc++.h>

using namespace std;
using ll = long long;

const int N = 1e5 + 10, M = 1e7 + 10, mod = 998244353;

int q, prime[N], cnt, id[M], sum;
ll inv[M], fact[M], factinv[M];
bool f[N];

ll C(int n, int m) {
    return fact[n] * factinv[m] % mod * factinv[n - m] % mod;
}

int main() {
    ios::sync_with_stdio(0), cin.tie(0);
    f[1] = 1;
    for (int i = 2; i < N; i++) {
        if (!f[i]) prime[++cnt] = i, id[i] = cnt;
        for (int j = 1; j <= cnt && 1ll * prime[j] * i < N; j++) {
            f[i * prime[j]] = 1;
        }
    }

    inv[1] = 1;
    for (int i = 2; i < M; i++) {
        inv[i] = (mod - mod / i) * inv[mod % i] % mod;
    }
    fact[0] = factinv[0] = 1;
    for (int i = 1; i < M; i++) {
        fact[i] = fact[i - 1] * i % mod;
        factinv[i] = factinv[i - 1] * inv[i] % mod;
    }

    cin >> q;
    while (q--) {
        int x, y; cin >> x >> y;
        for (int i = 2; i * i <= x; i++) {
            while (x % i == 0) x /= i, sum++;
        }
        if (x > 1) sum++;
        if (sum < y) cout << 0 << '\n';
        else cout << C(sum - 1, y - 1) << '\n';
    }
    return 0;
}