When the four positive integers \(1\), \(1\), \(2\), and \(4\) are multiplied together, the result is \(8\) since \(1 \times 1 \times 2 \times 4=8\). When they are added together, the result is also \(8\) since \(1 + 1 + 2 + 4 = 8\).
We can also find a collection of \(n\) positive integers, with \(n>1\), that multiply to \(2020\) and add to \(2020\). Determine all possible values for \(n\).