186 Divide by two.
93,2 Divide by three.
31,3,2 Stop. All the factors are prime.
2 x 3 x 31 = 186
13 is already prime. It doesn't need a tree.
126 ^ 9 14 ^ ^ 3 3 7 2
56 28,2 14,2,2 7,2,2,2
484 242,2 121,2,2 11,11,2,2
675 225,3 75,3,3 25,3,3,3 5,5,3,3,3
126 63,2 21,3,2 7,3,3,2
126 63,2 21,3,2 7,3,3,2
126 63,2 21,3,2 7,3,3,2
126 63,2 21,3,2 7,3,3,2
126 63,2 21,3,2 7,3,3,2
2,3,3,7
Factor tree:126|63 and 2|21 and 32 x 3 x 21 = 126
15 3,5
77 7,11
1,270,2,135
13 is already prime. It doesn't need a tree.
23 is a prime number. No prime factorization. No tree.