Using prime factorization to factor out the GCF

The video tutorial explains the concept of factoring, starting with the prime factorization of numbers like 8 and 10. It then moves on to factoring variables and expressions, emphasizing the importance of breaking down numbers and variables into their prime components. The tutorial also covers the process of finding the greatest common factor among terms, using examples to illustrate the steps involved. The teacher provides a detailed explanation of the factoring process, ensuring students understand how to identify and extract common factors from expressions.

What is the process of breaking down a number into its prime factors called?

How can the number 8 be factored into its prime factors?

What happens to the exponents when dividing numbers with exponents?

How do you determine the prime factorization of the number 10?

How can you express H^3 as a product of its factors?

What is the significance of identifying prime numbers in factoring?

What is the greatest common factor of the terms discussed in the lesson?