Prime Factorization and Number Properties

The video tutorial introduces factor trees, explaining factors and prime numbers. It demonstrates how to create factor trees using examples with numbers 8, 21, 125, and 42. The tutorial provides tips for identifying prime numbers and writing prime factorizations in exponential form. It emphasizes the importance of understanding prime and composite numbers for effective factorization.

What are factors?

• Numbers that divide a product

• Numbers that add up to a product

• Numbers that multiply to form a product

• Numbers that subtract to form a product

Which of the following is a prime number?

• 9

• 6

• 11

• 4

What is the first step in creating a factor tree for an even number?

• Start with 2

• Start with 3

• Start with 5

• Start with 7

What is the prime factorization of 8?

• 2 x 2 x 2

• 2 x 3 x 3

• 3 x 3 x 3

• 2 x 2 x 3

When dealing with an odd number, which prime number is often tried first?

• 2

• 7

• 3

• 5

What are the prime factors of 21?

• 2 and 11

• 3 and 5

• 5 and 7

• 3 and 7

What is a good starting point for factorizing numbers ending in 5?

• 7

• 2

• 3

• 5

What is the prime factorization of 125?

• 5 x 5 x 5

• 5 x 5 x 2

• 2 x 2 x 2

• 3 x 3 x 3

What is the first step in factorizing an even number like 42?

• Start with 3

• Start with 7

• Start with 5

• Start with 2

What are the prime factors of 42?

• 2, 3, and 7

• 2, 5, and 11

• 3, 5, and 7

• 2, 3, and 5