Prime Factorization and Exponents

This video tutorial from Moomoomath and Science explains the concept of prime factorization, demonstrating how to find the prime factors of the numbers 10 and 56. The process involves breaking down each number into its prime components, with 10 being 2 times 5, and 56 being 2 times 2 times 2 times 7. The video concludes with a brief mention of expressing these factors in exponential form.

What is the prime factorization of 10?

• 5 x 5

• 2 x 2 x 2

• 3 x 3

• 2 x 5

Which of the following is a prime number?

• 4

• 6

• 5

• 9

What is the first step in finding the prime factorization of 56?

• Divide by 7

• Divide by 2

• Divide by 3

• Divide by 5

What is the complete prime factorization of 56?

• 2 x 2 x 2 x 7

• 2 x 2 x 2 x 2

• 2 x 3 x 7

• 2 x 2 x 3 x 7

What is the exponential form of the prime factorization of 56?

• 2^3 x 5

• 2^4 x 7

• 2^2 x 7

• 2^3 x 7