# RATL 2 | Lesson 1 | Solutions (Prime Factorization)

For extra help, here are some strategies for prime factoring whole numbers.

1) The first way is to use a table as shown in the following slide show:

https://learnzillion.com/lesson_plans/2857-6-use-a-factor-chart-to-determine-if-a-number-is-prime-or-composite-fp?card=42600

2) Another way to prime factor a composite number is to use a factor ladder:

Prime factorization for 48:  $$48=2^4\cdot{3}$$

3) A third way to prime factor a number is to use a factor tree.

a) $$\Large \frac{24}{36}=\frac{2\cdot{2}\cdot{2}\cdot{3}}{2\cdot{2}\cdot{3}\cdot{3}}=\frac{2}{3}$$
b) $$\Large \frac{48}{54}=\frac{2\cdot{2}\cdot{2}\cdot{2}\cdot{3}}{2\cdot{3}\cdot{3}\cdot{3}}=\frac{2\cdot{2}\cdot{2}}{3\cdot{3}}=\frac{8}{9}$$
c) $$\Large \frac{36}{54}=\frac{2\cdot{2}\cdot{3}\cdot{3}}{2\cdot{3}\cdot{3}\cdot{3}}=\frac{2}{3}$$
d) $$\Large \frac{24}{48}=\frac{2\cdot{2}\cdot{2}\cdot{3}}{2\cdot{2}\cdot{2}\cdot{2}\cdot{3}}=\frac{1}{2}$$