cute numbers less than 2019, n is cute when m! ends in n zeros
Source: 1st Girls in Mathematics Tournament 2019 p4 (Brazil) / Torneio Meninas na Matematica (TM^2 )
May 25, 2020
factorialnumber theorycombinatorics
Problem Statement
A positive integer is called cute when there is a positive integer such that ends in exactly zeros.
a) Determine if is cute.
b) How many positive integers less than are cute?