288
144,2
72,2,2
36,2,2,2
18,2,2,2,2
9,2,2,2,2,2
3,3,2,2,2,2,2
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83 is prime. No tree.
61 is already prime. It doesn't need a tree.
When the bottom branch consists entirely of prime numbers.
Example: 210 210 105,2 35,3,2 7,5,3,2 2 x 3 x 5 x 7 = 210
145 5,29 Not much of a tree. More like a factor shrub.