Find all positive integers such that the set can be partitioned into two subsets so that the product of the numbers in each subset is equal.
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Find all positive integers $n$ such that the set $\{n,n+1,n+2,n+3,n+4,n+5\}$ can be partitioned into two subsets so that the product of the numbers in each subset is equal.
Source: Međunarodna matematička olimpijada, shortlist 1970
Školjka 
such that the set 
can be partitioned into two subsets so that the product of the numbers in each subset is equal.