Xcelerate

Somewhat simple problem I solved recently to start out my math series, so only 30 frih:

a+b+c = 2006. a!b!c! = x*(10^n).

What is the largest possible value of n, where all variables are integers?

(If you recognize where this is from, don't say anything.)

a+b+c = 2006. a!b!c! = x*(10^n).

What is the largest possible value of n, where all variables are integers?

(If you recognize where this is from, don't say anything.)