A factor tree is a special diagram where we find the factors of a number and then factors of those numbers until we can’t factor them anymore. In the end, what we get are all the prime factors of the original number.

## Factor Tree of 45

Factor Tree of 45 is the list of prime numbers when multiplied results in original number 45.

**Splitting Numbers **

We can split the number into any of its two factors. In other words, we are finding the numbers that when multiplied together give 45. Let’s start with 3*15 as it results in 45 on multiplying. Just like in any family tree we are now going to find the factors or ancestors of 3 and 15.

Let’s begin with 3 and on breaking down 3 we get factors as 3 and 1. This could go on as 1 and 3 are the 3’s only factors. As per the factor tree, we would stop at the prime numbers i.e. prime factors to stop the infinite chain of the same factors.

**Prime Factors**

Let’s look out 15 now and we can write it as 3*5 and place those factors on the tree. similar to prime number 3 in the initial step 3, 5 obtained here are also prime numbers and we will end up these branches.

### FAQs on Factor Tree

1. What is Factor Tree?

A factor tree is a tool that breaks down any number into its prime numbers.

2. What is Prime Factorization?

Prime Factorization is the list of prime numbers that when multiplied gives a certain product.

3. How to find a Factor Tree of 45?

**Step 1:**

Split the number given to two factors

thus, we can write 45 as 5*9

**Step 2:**

Look at the numbers and check if at least one of them is not prime.

If it is not prime repeat the process until all are prime.

On further splitting 8, we can express as multiples of 2*4 and 4 can be further written as 2 *2

If we take 9 we can write it down as 3*3

∴ Factor tree of 45 is 5*3*3

4. What are the Prime Factors of 45?

Prime Factors of 45 are 3*3*5.