Factor trees show the index form for each number.
12
6 2
3 2
12=3*2*2
72
8 9
2 4 3 3
2 2
72=2*2*2*3*3
The index form is a number written down by the primes that make it up. Look at my examples if your not sure of what I mean
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In doing the factor tree, you can start with any two factors of the given number. These factors maybe prime or composite. But the resulting factors in the factor tree should always be prime numbers. It means that you have to continue factoring unless you ended up with all prime factors.
Since prime numbers only have one prime factor (themselves), factor trees are unnecessary.
factor tree
Every composite number has its own unique tree, so I guess the answer is all numbers have one tree. Perhaps you meant one branch or one factor. Prime numbers only have two factors, one of them is prime, so if you try to do a factor tree with a prime number, it stops the second you write the number down. And then there's one. One only has one factor, so we won't even bother with a tree. We'll call it a factor twig.
Here is a factor tree of 39: 39 3 x 13 Since these are prime numbers, the factor tree is finished. The prime factors of 39 are 3 and 13.