Number theory · Diophantine equations · Divisibility · Integer factorisation
Find every natural number \(n\) with the following property: there is a rectangle whose side lengths are natural numbers, whose perimeter equals \(n\), and whose area is numerically equal to \(n\) as well.
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2014, 1. letnik, category A, problem B1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source