def prime_divisors(x):
  res=0
  for p in range(2,int(x**0.5)+1):
    while x%p==0:
      res+=1
      x//=p
  if x>1:
    res+=1
  return res

MOD=998244353
M=16*10**5
fact=[1]*(M+1)
for i in range(M):
    fact[i+1]=fact[i]*(i+1)%MOD
ifact=[1]*(M+1)
ifact[M]=pow(fact[M],MOD-2,MOD)
for i in range(M,0,-1):
    ifact[i-1]=ifact[i]*i%MOD

def nCr(n,r):
    if n<r or n<0 or r<0:return 0
    return fact[n]*ifact[n-r]*ifact[r]%MOD

q=int(input())
ab=[list(map(int,input().split())) for _ in range(q)]
prime_cnt=0
for a,b in ab:
    prime_cnt+=prime_divisors(a)
    
    ans=nCr(prime_cnt-b+b-1,b-1)
    print(ans)