2004 AMC 12A Problems/Problem 25
Problem
For each integer , let
denote the base-
number
. The product
can be expressed as
, where
and
are positive integers and
is as small as possible. What is the value of
?
Solution
Since isn't one of the answer choices, we need to get rid of some stuff:
Since only the two goes into 98, n is at it's minimum.