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