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
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.
No.
No.
by using a prime factor tree
Because 45 is not a factor of 60.
196 98,2 49,2,2 7,7,2,2
A factor tree shows the prime factors of the working number and can also be used as a visual demonstration to show the prime factors of the working number.
Prime numbers don't have factor trees. So if you can create a tree, your number's composite.
199 is a prime number. It does not have a tree since it only has one prime factor, itself.
13 is a prime number. It doesn't have a tree because its only prime factor is itself.
Only one branch at the bottom of any factor tree.
No.
37 is a prime number so it cant be broken into a factor tree. its only factors are 37 and 1