64
32,2
16,2,2
8,2,2,2
4,2,2,2,2
2,2,2,2,2,2
114
57,2
19,3,2
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.
194 2 x 97 Since both 2 and 97 are prime numbers, the prime factorization tree is complete.
5 and 23
26 13,2
289 17,17
When the bottom branch consists entirely of prime numbers.
1997 is already prime; no tree.
44 22,2 11,2,2
To write prime numbers in multiplication form, you simply list them as factors multiplied together. For example, the prime factorization of 12 is 2 x 2 x 3, as 2 and 3 are prime numbers. Likewise, the prime factorization of 20 is 2 x 2 x 5.
The prime factorization of the number at the top
Their at the bottom of the tree because the hole point of a factor tree is to find the prime factorization of the number, so it would be at the bottom of the tree.
414 207,2 69,3,2 23,3,3,2