import math

def calc(A, B, C):
	bs = []
	while B > 0:
		bs += [B & 1]
		B //= 2
	bs.reverse()
	x, y = 0, 1
	for b in bs:
		x += x
		if x >= 998244353: x -= 998244353
		y = y * y
		if b: y *= A
		while y % C == 0:
			y //= C
			x += 1
		if x >= 998244353: x -= 998244353
		y = math.gcd(y, C)
	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()