Problem #1272 - Math All Star

Processing math: 100%

2015

Problem - 1272

Let

$n$ be a positive integer greater than

$4$ such that the decimal representation of

$n!$ ends in

$k$ zeros and the decimal representation of

$(2n)!$ ends in

$3k$ zeros. Let

$s$ denote the sum of the four least possible values of

$n$ . What is the sum of the digits of

$s$ ?

The solution for this problem is available for $0.99. You can also purchase a pass for all available solutions for $99.