import math

mod=998244353

def slv():
    A,B,C=map(int,input().split())
    ps=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97]

    print(len(ps))

    def calc(p:int)->int:
        a,b,c=A,B,C
        ca,cc=0,0
        while a%p==0:
            a//=p
            ca+=1
        while c%p==0:
            c//=p
            cc+=1
        
        return 10**50 if cc==0 else (ca*b)//cc
    
    ret=10**50

    for p in ps:
        ret=min(ret,calc(p))

    tmp=0
    while B>1:
        A=math.gcd(A,C)
        t=-1
        a=A
        for i in range(1,21):
            if a%C==0:
                t=i
                break
            a*=A
        if t==-1:break
        tmp+=B//t
        B//=t
        A=a//C
    
    ret=min(ret,tmp)

    print(ret%mod)

T=int(input())

while T:
    T-=1
    slv()