A factor tree of 75,000 is
75,000
75 x 1000
(3 x 25) x (10 x 100)
(3 x (5x5)) x ((2x5) x (10x10))
(3 x (5x5)) x ((2x5) x ((2x5)x(2x5)))
So, the prime factorization is 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 = 23 x 3 x 55
1997 is already prime; no tree.
350=2x5x5x7
194 2 x 97 Since both 2 and 97 are prime numbers, the prime factorization tree is complete.
When the bottom branch consists entirely of prime numbers.
a factor tree
1997 is already prime; no tree.
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.
572=2x286=2x2x143=2x2x11x13
141 = 3 x 47
585 195,3 65,3,3 13,5,3,3
3 is already prime. No need for a tree.