Factor Tree

A factor tree is a diagram used to determine the prime factors of a natural number greater than one.


The number 30 can be written as 6 x 5. 6 can then be written as 2 x 3. A factor tree representing this is shown below.

A Factor Tree for the number 30

Although the number 30 can be factored different ways, the result is always has one 2, one 3 and one 5. Every possible factor tree for the number 30 is shown below.

All Factor Trees for the number 30

The number 30 can be written in prime factorization as 2 x 3 x 5. All of the factors are prime numbers.

Using exponential form, 30 = 213151, indicating that there is one 2, one 3 and one 5 multilplied together to get the result of 30.

Image only

Instructions text as in global.js

Your browser does not support the canvas element.