Q=int(input())
for _ in range(Q):
  a,b,c=map(int,input().split())
  if (a**100)%c!=0:
    print(0)
    continue
  x,y=100,1
  u=[1]*100
  v=[1]*100
  for k in range(1,100):
    u[k]=u[k-1]*a
    v[k]=v[k-1]*c
  for k1 in range(1,50):
    for k2 in range(1,50):
      if x*k2>y*k1:
        if u[k1]%v[k2]==0:
          x,y=k1,k2
  p=[2,3,5,7,11]
  L=[]
  for z in p:
    k1=0
    n=a
    while n%z==0:
      k1+=1
      n//=z
    n=c
    k2=0
    while n%z==0:
      k2+=1
      n//=z
    L.append((k2,k1))
  for i in range(len(L)):
    k1,k2=L[i][:]
    if u[k1]%v[k2]==0:
      if x*k2>y*k1:
        x,y=k1,k2
  result=(y*b)//x
  result%=998244353
  print(result)