To create a factor tree, it’s essential to understand the basic concept of factorization. A factor tree is a diagram used to break down a number into its prime factors. This process involves dividing the number by prime numbers until only prime factors are left.

Introduction to Factor Trees

Factor trees help visualize the factorization of a number, starting from the number itself and dividing it by prime numbers. Each branch of the tree represents a division step, leading to the ultimate prime factors.

Steps to Create a Factor Tree

Begin by dividing the number by the smallest prime number. Continue dividing the quotient by prime numbers until you reach 1. The branches of the tree will show the division process and the prime factors.

Example of a Factor Tree

For instance, to factorize 60, divide by 2 to get 30, then divide 30 by 2 to get 15. Next, divide 15 by 3 to get 5, and finally, 5 is already a prime number. The factor tree for 60 reveals the prime factors 2, 2, 3, and 5.

In summary, factor trees provide a visual representation of prime factorization, making complex numbers easier to understand and work with.