Factor Tree

Definition

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

Examples

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.

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.

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 = 2^{1}3^{1}5^{1}, indicating that there is one 2, one 3 and one 5 multilplied together to get the result of 30.

Demonstration

Image only

Instructions text as in global.js