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 this slide show.
  2. Another way to prime factor a composite number is to use a factor ladder:

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

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

Check your answers for simplifying the fractions above:

  1. \(\dfrac{24}{36}=\dfrac{2\cdot{2}\cdot{2}\cdot{3}}{2\cdot{2}\cdot{3}\cdot{3}}=\dfrac{2}{3}\)
  2. \(\dfrac{48}{54}=\dfrac{2\cdot{2}\cdot{2}\cdot{2}\cdot{3}}{2\cdot{3}\cdot{3}\cdot{3}}=\dfrac{2\cdot{2}\cdot{2}}{3\cdot{3}}=\dfrac{8}{9}\)
  3. \(\dfrac{36}{54}=\dfrac{2\cdot{2}\cdot{3}\cdot{3}}{2\cdot{3}\cdot{3}\cdot{3}}=\dfrac{2}{3}\)
  4. \(\dfrac{24}{48}=\dfrac{2\cdot{2}\cdot{2}\cdot{3}}{2\cdot{2}\cdot{2}\cdot{2}\cdot{3}}=\dfrac{1}{2}\)

Return to Try This.

Continue to Making Connections (Reflect on Prime Factorization)