To find N natural numbers not necessarily distinct such that their sum is equal to their product

To find N natural numbers not necessarily distinct such that their sum is equal to their product

2+2 =2×2

1+2+3=1×2×3

1+1+2=4=1×1×2×4

1+1+1+2+5=1×1×1×2×5

1+1+1+1+2+6=1×1×1×1×2×6

In general,

1+1+1+…..{(N-2) times}+2+N = 1×1×……{(N-2) times}×2×N

 

The above formula was published in Ramanujan Mathematical Society newsletter in June-2014 under problem and solution section.