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
a prime factorization tree
33 11,3
350=2x5x5x7
51 3,17
The prime factorization of 97 is 97 itself, as it is a prime number and cannot be divided evenly by any other numbers. Therefore, there is no prime factorization tree for the number 97.
50 25,2 5,5,2
131 is already prime. No tree.
141 = 3 x 47
572=2x286=2x2x143=2x2x11x13