480
240,2
120,2,2
60,2,2,2
30,2,2,2,2
15,2,2,2,2,2
5,3,2,2,2,2,2
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1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
83 is prime. No tree.
61 is already prime. It doesn't need a tree.
When the bottom branch consists entirely of prime numbers.
145 5,29 Not much of a tree. More like a factor shrub.