#include<bits/stdc++.h>
using namespace std;
using ll = long long;
#define all(a) (a).begin(), (a).end()
#define pb push_back
#define fi first
#define se second
mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());
const ll MOD1000000007 = 1000000007;
const ll MOD998244353 = 998244353;
const ll MOD[3] = {999727999, 1070777777, 1000000007};
const ll LINF = 1LL << 60LL;
const int IINF = (1 << 30) - 2;


template<long long mod>
class modint{
    long long x;
public:
    modint(long long x=0) : x((x%mod+mod)%mod) {}
    modint operator-() const { 
      return modint(-x);
    }
    bool operator==(const modint& a){
        if(x == a) return true;
        else return false;
    }
    bool operator==(long long a){
        if(x == a) return true;
        else return false;
    }
    bool operator!=(const modint& a){
        if(x != a) return true;
        else return false;
    }
    bool operator!=(long long a){
        if(x != a) return true;
        else return false;
    }
    modint& operator+=(const modint& a) {
        if ((x += a.x) >= mod) x -= mod;
        return *this;
    }
    modint& operator-=(const modint& a) {
        if ((x += mod-a.x) >= mod) x -= mod;
        return *this;
    }
    modint& operator*=(const  modint& a) {
        (x *= a.x) %= mod;
        return *this;
    }
    modint operator+(const modint& a) const {
        modint res(*this);
        return res+=a;
    }
    modint operator-(const modint& a) const {
        modint res(*this);
        return res-=a;
    }
    modint operator*(const modint& a) const {
        modint res(*this);
        return res*=a;
    }
    modint pow(long long t) const {
        if (!t) return 1;
        modint a = pow(t>>1);
        a *= a;
        if (t&1) a *= *this;
        return a;
    }
    // for prime mod
    modint inv() const {
        return pow(mod-2);
    }
    modint& operator/=(const modint& a) {
        return (*this) *= a.inv();
    }
    modint operator/(const modint& a) const {
        modint res(*this);
        return res/=a;
    }

    friend std::istream& operator>>(std::istream& is, modint& m) noexcept {
        is >> m.x;
        m.x %= mod;
        if (m.x < 0) m.x += mod;
        return is;
    }

    friend ostream& operator<<(ostream& os, const modint& m){
        os << m.x;
        return os;
    }
};

using mint = modint<MOD998244353>;

template<typename T>
struct combination{
    vector<T> fac, ifac;

    combination(size_t n=0) : fac(1, 1), ifac(1, 1){
        make_table(n);
    }

    void make_table(size_t n){
        if(fac.size()>n) return;
        size_t now = fac.size();
        n = max(n, now*2);
        fac.resize(n+1);
        ifac.resize(n+1);
        for(size_t i=now; i<=n; i++) fac[i] = fac[i-1]*i;
        ifac[n]=T(1)/fac[n];
        for(size_t i=n; i-->now; ) ifac[i] = ifac[i+1]*(i+1);
    }

    T factorial(size_t n){
        make_table(n);
        return fac[n];
    }

    T invfac(size_t n){
        make_table(n);
        return ifac[n];
    }

    T P(size_t n, size_t k){
        if(n < k) return 0;
        make_table(n);
        return fac[n]*ifac[n-k];
    }

    T C(size_t n, size_t k){
        if(n < k) return 0;
        make_table(n);
        return fac[n]*ifac[n-k]*ifac[k];
    }

    T H(size_t n, size_t k){
        if(n==0) return k==0?1:0;
        return C(n-1+k, k);
    }
};

combination<mint> comb;

void solve(){
    int MAX = 1e5;
    vector<bool> is_prime(MAX+1, true);
    is_prime[0] = is_prime[1] = false;
    for(int i=2; i<=MAX; i++){
        if(!is_prime[i]) continue;
        for(int j=2*i; j<=MAX; j+=i){
            is_prime[j] = false;
        }
    }
    vector<int> prime;
    for(int i=0; i<=400; i++) if(is_prime[i]) prime.pb(i);

    int q; cin >> q;
    int cnt = 0;
    while(q--){
        int a, b; cin >> a >> b;
        for(int p : prime){
            while(a%p==0){
                cnt++;
                a/=p;
            }
        }
        if(a != 1) cnt++;

        mint ans = 0;
        if(cnt>=b) ans = comb.C(cnt-1, b-1);

        cout << ans << '\n';
    }
}

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    
    int T=1;
    //cin >> T;
    while(T--) solve();
}