Maths How To with Anita

Factor tree for 27

Factor tree for 27

Learning how to draw a factor tree for 27, find the factor pairs of 27 and prime factorization of 27 is handy to know. This is a useful skill to learn in math as it is essential for other topics such as operating with fractions and simplifying expressions and solving equations in Algebra.

As a high school math teacher since 2007 I have seen firsthand how students who learn this skill have found other topics easier.

If you’re getting frustrated with finding factors read on to learn how to draw a factor tree for 27 from an experienced teacher who loves making maths simple and fun.

What is a factor tree?

A factor tree is a diagram that shows the prime factorization of a number. In other words, it is a way to break a number down into its prime factors.

What is the factor tree of 27?

The factor tree for 27 is shown below.

Factor tree for 27

27 Factor Tree video

Watch me create the factor tree of 27 in this video.

How to find the prime factors of 27

You can find the prime factors of 27 by drawing a factor tree.

Once I reach a prime number I circle it in red.

After I am left with no more composite numbers to divide into 2 factors, I can see all the prime factors at the end of each branch on the factor tree for 27.

What is the Prime factorization of 27?

The prime factorization of 27 can be written as the product of its prime factors as follows:

27= 3 x 3 x 3

What are the factors of 27?

The factors of 27 are 1, 3, 9, and 27.

They are the numbers that divide exactly into 27 without any remainder.

What are the Factor Pairs of 27?

Factor pairs are 2 numbers that when multiplied together equal the given number, in this case 27.

The Factor Pairs of 27 can be written as a product like this:

1 x 27 = 27

3 x 9 = 27

The factor pairs of 27 can be drawn as a factor rainbow.

factor rainbow for 27

Negative factors of 27

Two negative numbers multiply together to result in a positive product.

So -1 x -27 = 27

and -3 x -9 = 27

So the negative factors of 27 are -1, -3, -9 and -27.


What is the product of prime factors of 27?

27 = 3 x 3 x 3 is the product of prime factors of 27

Final Thoughts on the Factors of 27

So there are several ways to think about and find the factors of 27. And it’s not as hard as it might seem at first glance! The more you practice, the easier it will become.

So keep at it, and soon you’ll be a pro at finding all the factors of any number that comes your way.

Further factors

Learn more about theĀ factors of other numbers here.