Factor Tree of 24 Explained Step by Step | Easy Prime Factorization Guide

Factor tree of 24

$$24 = 2 \times 2 \times 2 \times 3 = 2^3 \times 3$$

Solution: To create a factor tree for 24, we break down the number into its prime factors step-by-step. Here's how:

1. Start with the number 24. Find any two factors of 24. For instance, we can choose 2 and 12. So, we write: $$24$$ $$\text{/ } \text{\\} $$ $$2 \quad 12$$2. The number 2 is a prime number, so we circle it (or consider it an end branch). The number 12 is composite, so we need to break it down further. Find two factors of 12. We can choose 2 and 6. So, the tree extends: $$24$$ $$\text{/ } \text{\\} $$ $$2 \quad 12$$ $$\qquad\text{/ } \text{\\} $$ $$\qquad2 \quad 6$$3. Again, 2 is a prime number, so we circle it. The number 6 is composite, so we break it down further. Find two factors of 6. We can choose 2 and 3. So, the tree becomes: $$24$$ $$\text{/ } \text{\\} $$ $$2 \quad 12$$ $$\qquad\text{/ } \text{\\} $$ $$\qquad2 \quad 6$$ $$\qquad\qquad\text{/ } \text{\\} $$ $$\qquad\qquad2 \quad 3$$4. Both 2 and 3 are prime numbers. All branches of the tree now end in prime numbers.

Therefore, the prime factors of 24 are the numbers at the ends of the branches: 2, 2, 2, and 3.

The prime factorization of 24 is:$$24 = 2 \times 2 \times 2 \times 3 = 2^3 \times 3$$