A composite number has a unique prime factorization, but there can be different factor trees that lead to it depending on what factors you choose.
36
18,2
9,2,2
3,3,2,2
36
6,6
2,3,6
2,3,2,3
36
9,4
3,3,4
3,3,2,2
36
12,3
3,4,3
3,2,2,3
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No, there is not. However, the final outcome must be the same - that is the Fundamental Theorem of Arithmetic.
No.
No.
The factor tree of 29 would consist of only the number 29 itself, as it is a prime number. Prime numbers have only two factors: 1 and the number itself. Therefore, the factor tree for 29 would simply show 29 at the top with no further branches or factors.
85
109 109 x 1 This is all there is to the factor tree, because 109 is a prime number. Normally, I wouldn't use 1 in a factor tree, but I do in this case to make it clear that I have done a factor tree, since 109 is only divisible by itself and 1.