t = int(input())

for i in range(0, t):
    a, b, c = [int(s) for s in input().split()]
    ans = 0
    prod = 1
    cnt = 0
    cc = c * c
    while a % c == 0:
        a //= c
        cnt += 1
    a %= cc
    while b > 0:
        if b % 2 == 1:
            prod *= a
            ans += cnt
            while prod % c == 0:
                ans += 1
                prod //= c
            prod %= cc
        a = a * a % cc
        cnt *= 2
        while a % c == 0:
            a //= c
            cnt += 1
        b >>= 1
    print(ans % 998244353)