R=range
J=lambda:map(int,input().split())
for t in R(sum(J())):
	A,B,C=J()
	a,c,D=0,0,1
	for p in R(1,136):
		D*=A
		while D%C<1:c+=1;D//=C
		a=max(a,B*c//p)
	print(a%998244353)