t = int(input())
mod = 998244353

for _ in range(t):
	a, b, c = map(int,input().split())
	cnt = 0
	rem = a
	res_cnt = 0
	res_rem = 1
	while rem % c == 0:
		cnt += 1
		rem /= c
	rem %= c
	while b > 0:
		if b % 2 == 1:
			b -= 1
			res_cnt = (res_cnt + cnt) % mod
			res_rem = res_rem * rem
			while res_rem % c == 0:
				res_cnt = (res_cnt + 1) % mod
				res_rem /= c
			res_rem %= c
		b /= 2
		cnt = (cnt * 2) % mod
		rem = rem * rem
		while rem % c == 0:
			cnt = (cnt + 1) % mod
			rem /= c
		rem %= c
	print(res_cnt)