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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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Q: How do you use prime and composite numbers with a factor tree?
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How can a factor tree help you determine if a number is prime or composite?

Prime numbers don't have factor trees. So if you can create a tree, your number's composite.


What is a factor tree and how do youknow when a factor tree is complete?

When the bottom branch consists entirely of prime numbers.


Why are prime numbers on the bottom of a factor tree?

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.


When beginning a factor tree of a composite number does it matter which factor pair you start with?

no because there are multiple ways to do factor trees until u get to all prime numbers


Does it matter what two factors you complete to a factor tree?

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.


Can prime numbers be written as a product of composite?

Yes. Do a factor tree to find the prime factors. Then write down all of those times together equals your original number.e.g. 12=6*2=2*2*3=which is written as two squared*3


What is the only way to create a factor tree?

Write the composite number you want to factor on a piece of paper. Write one of its factor pairs underneath it. If possible, keep breaking each factor down until all the factors are prime. All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime.


How do you express the prime numbers in factor tree method?

Since prime numbers only have one prime factor (themselves), factor trees are unnecessary.


Are you allowed to put a one in fraction trees?

I believe you mean factor trees. Ones are not helpful.


When do you use a factor tree?

When you want to find the prime factorization of a composite number.


What is a diagram used to identify the prime factors of a composite number?

factor tree


Does a factor tree end in a prime or compasite number?

The bottom branch of a factor tree consists entirely of prime numbers.