Problem 19 (2017 AMC 8)

AMC 8Hard

From module Arithmetic and Number Theory Basics

Problem

For any positive integer $M$ , the notation $M!$ denotes the product of the integers $1$ through $M$ . What is the largest integer $n$ for which $5^n$ is a factor of the sum $98!+99!+100!$ ?

Show me the solution

← Back to all problems