243
/ \
3 81
/ / \
3 3 27
/ / / \
3 3 3 9
/ / / / \
3 3 3 3 3
= 3 x 3 x 3 x 3 x 3
= 35
35 = 243
1997 is already prime; no tree.
The prime factorization of 243 will require 5 numbers. It is possible to write a factorization in two numbers, but they won't both be prime. 3 x 3 x 3 x 3 x 3 = 243 9 x 27 = 243
51 3,17
350=2x5x5x7
33 11,3
a prime factorization tree
50 25,2 5,5,2
97 is already prime; no tree.
131 is already prime. No tree.
141 = 3 x 47
572=2x286=2x2x143=2x2x11x13