Set with Sum Equal to Product
Algebra
Level
5
\( \{ x_1, x_2, \ldots x_{60} \} \) is a set of \(60\) positive integers that satisfy the equation
\[ x_1 + x_2 + \ldots + x_{60} = x_1 \times x_2 \times \ldots \times x_{60}. \]
Over all solution sets, what is the maximum value of \( x_1 \)?
by
Calvin Lin