for _ in range(int(input())):
    A, B, C = map(int, input().split())

    x = 1

    deg = 0

    v = [0]

    for d in range(1, min(B, 160) + 1):
        x *= A
        while x % C == 0:
            x //= C
            deg += 1
        v.append(deg)

    # print(v)

    ret = 0
    for c in range(1, len(v)):
        t, r = divmod(B, c)
        ret = max(ret, t * v[c] + v[r])

    print(ret % 998244353)