Divisibility and Cube Roots

The video tutorial explains how to find the cube root of 3,430 by using prime factorization. It begins with an introduction to the problem, followed by a detailed process of prime factorization. The tutorial then checks divisibility and performs long division to break down the number further. Finally, it simplifies the cube root using the identified prime factors, resulting in a simplified expression of 7 times the cube root of 10.

What is the first step in finding the cube root of 3,430?

• Guessing a number

• Using a calculator

• Prime factorization

• Dividing by 3

What is the result of dividing 3,430 by 2?

• 1,715

• 1,800

• 1,600

• 1,500

After dividing 1,715 by 5, what is the next number to factor?

• 347

• 345

• 343

• 350

Which number is 343 divisible by?

• 11

• 7

• 5

• 2

What is the factorization of 49?

• 6 times 6

• 8 times 6

• 7 times 7

• 7 times 6

How can 343 be expressed in terms of its prime factors?

• 6 times 6 times 6

• 7 times 7 times 7

• 8 times 8 times 8

• 7 times 6 times 6

What is the cube root of 7 to the third power?

• 6

• 5

• 8

• 7

What is the simplified form of the cube root of 3,430?

• 5 times the cube root of 10

• 6 times the cube root of 10

• 8 times the cube root of 10

• 7 times the cube root of 10

What is the prime factorization of 10?

• 2 times 5

• 2 times 6

• 3 times 5

• 3 times 6

What is the best method to find the exact cube root of 3,430?

• Using a calculator

• Guessing

• Using a protractor

• Using a ruler