Q=int(input())
fact=[1,1]
invfact=[1,1]
MOD=998244353
for i in range(2,17*10**5+1):
	fact.append((fact[-1]*i)%MOD)
	invfact.append((invfact[-1]*pow(i,MOD-2,MOD))%MOD)
def factrize(A):
	c=0
	M=A
	for i in range(2,int(A**0.5)+3):
		if  M<i:
			break
		while M%i==0:
			M=M//i
			c+=1
	if M!=1:
		c+=1
	return c
def C(n,r):
	return (fact[n]*invfact[r]*invfact[n-r])%MOD
cnt=0
for i in range(Q):
	a,b=list(map(int,input().split()))
	cnt+=factrize(a)
	if cnt<b:
		print(0)
		continue
	print(C(cnt-1,cnt-b))