Cube Root Calculation Using Factor Trees

This video tutorial demonstrates how to find the cube roots of 512, 729, and 1728 without using a calculator. The instructor uses a factor tree method to break down each number into its prime factors, then applies the rule of triplets to simplify the cube root. The video concludes with a summary of the process and encourages viewers to subscribe for more math and science content.

What is the first step in finding the cube root of a number using a factor tree?

• Subtract 1 from the number

• Multiply the number by 2

• Find the prime factors of the number

• Divide the number by 3

How many times does the number 2 appear in the factorization of 512?

• 9 times

• 8 times

• 7 times

• 6 times

What is the cube root of 512?

• 9

• 8

• 7

• 6

Which number is used to start the factor tree for 729?

• 5

• 7

• 3

• 2

How many times does the number 3 appear in the factorization of 729?

• 6 times

• 5 times

• 4 times

• 7 times

What is the cube root of 729?

• 7

• 8

• 10

• 9

What is the first factor used in the factor tree for 1728?

• 4

• 3

• 2

• 5

How many times does the number 2 appear in the factorization of 1728?

• 7 times

• 5 times

• 4 times

• 6 times

What is the cube root of 1728?

• 12

• 10

• 11

• 13

What is the main advantage of using a factor tree to find cube roots?

• It is the only method available

• It requires no mathematical knowledge

• It helps understand the prime factorization

• It is faster than using a calculator