import math

def calc(A, B, C):
	if B == 0:
		return 0, 1
	x, y = calc(A, B // 2, C)
	x += x
	if x >= 998244353: x -= 998244353
	y = y * y
	if B % 2 == 1: y *= A
	while y % C == 0:
		y //= C
		x += 1
	if x >= 998244353: x -= 998244353
	return x, y

def solve():
	A, B, C = map(int, input().split())
	ans = 0
	while A % C == 0:
		A //= C
		ans += B
	A = math.gcd(A, C)
	x, y = calc(A, B, C)
	ans += x
	ans %= 998244353
	print(ans)


T = int(input())
for _ in range(T):
	solve()