#include #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") using namespace std; using ll = long long; const ll mod = 998244353; #define fi first #define se second #define rep(i,n) for(ll i=0;i>=1; } return res; } ll modinv(ll A){return modpow(A,mod-2);} int main() { vector P; for(ll i=2;i<=100;i++){ bool ok=true; for(ll j=2;j> Q(25,vector(100,1)); rep(i,25){ rep(j,100-1){ Q[i][j+1]=Q[i][j]; Q[i][j+1]*=P[i]; Q[i][j+1]%=mod; } } ll T; cin >> T; while(T--){ ll X,N; cin >> X >> N; vector R(100,1); rep(i,100-1){ R[i+1]=R[i]; R[i+1]*=((N+i-1)%mod); R[i+1]%=mod; R[i+1]*=modinv(i+1); R[i+1]%=mod; } ll loop=1; vector A(25,0); rep(i,25){ while(X%P[i]==0){ A[i]++; X/=P[i]; } loop*=(A[i]+1); } ll ans=N%mod; rep(i,25){ ll cnt=0; rep(j,A[i]+1){ ll now=1; now*=Q[i][j]; now*=R[A[i]-j]; cnt+=now; cnt%=mod; } ans*=cnt; ans%=mod; } cout << ans << endl; } return 0; }