Because no matter how you get there, 32 only has one unique set of prime factors.
32
16,2
8,2,2
4,2,2,2
2,2,2,2,2
32
8,4
2,4,4
2,2,2,4
2,2,2,2,2
3 is a prime number. Prime numbers don't have factor trees. The factors of 3 are 1 and 3.
16 8,2 4,2,2 2,2,2,2
If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.
Factor trees are intended to find prime factors, one isn't prime. The process of factoring is intended to break down the number. Since factoring out one still leaves the original number, it isn't useful.
You don't. 41 is a prime number. Prime numbers don't have factor trees, since they only have one prime factor.
factor trees and prime factor trees are the same thing with different names.
3 is a prime number. Prime numbers don't have factor trees. The factors of 3 are 1 and 3.
It is: 2*3*3*3 = 54
3 different factors for 72
Factor trees are ways of notating the process of finding the prime factorization of a given composite number and, as such, should result in an identifiable string of prime factors.
11 is a prime number therefore the only number that factors 11 is 1 and itself
Some people use factor trees, rainbows, fireworks, etc.
16 8,2 4,2,2 2,2,2,2
If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.
Bigger numbers make bigger factor trees, and of course there are prime numbers which cant be factored at all
It's a way to display the prime factors of a number, like factor trees and factor rainbows. It really doesn't matter where you write the factors on the page. What matters is keeping track of them. Pick a method that makes sense to you.
Factor trees and factor rainbows.