In the prime factorization of 12! + 15! + 18! + 21! + 24!, what is the exponent of 3?
The exponent of 3 is 17.
Factor [12! + 15! + 18! + 21! + 24!]==620499499079093007897600 =
2^10×3^5×5^2×7×11×53×129169×189221423 (22 prime factors, 8 distinct)
The exponent of 3 = 5 or 3^5