Factor Trees and Prime Factorization

This video tutorial from MooMooMath explains how to reduce fractions using a factor tree method. It provides a detailed example of reducing the fraction 16/120, demonstrating the process of creating factor trees for both the numerator and denominator, and then canceling common factors. The video also outlines the rules for this method and offers a slower, more detailed walkthrough of the process to ensure understanding.

What is the first step in reducing the fraction 16/120 using method two?

• Add the numerator and denominator

• Create a factor tree

• Find the greatest common divisor

• Multiply the numerator and denominator

Which of the following is a rule for the factor tree method?

• Divide the numerator by the denominator

• List all factors of the numerator and denominator

• List all prime numbers

• Multiply all factors together

How can 16 be factored using a factor tree?

• 5 x 3

• 4 x 4

• 3 x 5

• 2 x 8

What is the prime factorization of 16?

• 5 x 5

• 3 x 3 x 3

• 2 x 2 x 2 x 2

• 2 x 3 x 5

What is the first step in creating a factor tree for 120?

• Start with 10 x 12

• Multiply by 2

• Add 5

• Divide by 3

Which of the following is a prime factor of 120?

• 4

• 5

• 6

• 10

What is the prime factorization of 120?

• 2 x 3 x 4

• 3 x 3 x 3 x 3

• 2 x 2 x 2 x 3 x 5

• 5 x 5 x 5

What happens after listing all factors in the factor tree method?

• Divide by the largest factor

• Multiply all factors

• Cancel out common factors

• Add all factors together

What is the reduced form of the fraction 16/120?

• 1/8

• 3/10

• 2/15

• 4/5

What is the final step in reducing a fraction using the factor tree method?

• Add the remaining factors

• Multiply the remaining factors

• Combine the remaining factors

• Subtract the remaining factors