gets.to_i.times{
  a,b,c=gets.split.map &:to_i
  t=[]
  x=1
  300.times{
    x*=a
    t<<0
    while x%c==0
      x/=c
      t[-1]+=1
    end
  }
  l=150
  l-=1 while t[...l]!=t[l...l+l]
  puts (b/l*t[...l].sum+t[...b%l].sum)%998244353
}