Cube Roots and Factor Trees

The video tutorial explains how to find the cube root of 216 using a factor tree method. It begins by dividing 216 by 2, repeatedly breaking it down into prime numbers. The process involves identifying prime numbers and rewriting the cube root with these numbers. The tutorial then focuses on finding triplets of prime numbers, which are extracted from under the cube root sign. Finally, the triplets are multiplied to find the cube root of 216, which is 6. The video concludes with a reminder to be kind.

What method is introduced for finding the cube root of 216?

• Trial and error

• Graphical method

• Factor tree

• Long division

What is the first prime factor identified in the factor tree of 216?

• 2

• 7

• 5

• 3

Which of the following is a correct pair of factors for 108?

• 3 and 36

• 2 and 54

• 4 and 27

• 6 and 18

What is the next step after breaking down a number into its prime factors?

• Add the factors

• Multiply the factors

• Divide the factors

• Rewrite the cube root with the factors

What do you look for when simplifying a cube root?

• Quads

• Triplets

• Singles

• Pairs

What is the result of multiplying the triplets found in the cube root of 216?

• 6

• 4

• 5

• 7

What is the final cube root of 216?

• 6

• 7

• 4

• 5