Exploring Prime Factorization Techniques

The video tutorial by Jeff Jacobson covers the concept of factor pairs and prime factorization. It begins with a practical problem of arranging desks in a classroom using factor pairs of 24. The tutorial then provides an example of finding factor pairs for the number 56. Finally, it explains the process of prime factorization using the number 48, demonstrating how to break down a number into its prime factors using a factor tree.

What is the main problem the teacher is trying to solve with the 24 desks?

• How to arrange them in different patterns.

• How to group them so each group has the same number of desks.

• How to color them.

• How to sell them.

Which of the following is NOT a factor pair of 24?

• 2 and 12

• 1 and 24

• 3 and 9

• 4 and 6

How many different arrangements of the 24 desks did the teacher find?

• 8

• 9

• 7

• 6

What is the first step in finding factor pairs of a number?

• Start with 1 and go in order.

• Start with a prime number.

• Start with an even number.

• Start with the largest number.

Which of the following is a factor pair of 56?

• 3 and 19

• 2 and 28

• 1 and 55

• 4 and 15

What is the sum of the digits of 56, and is it divisible by 3?

• 11, Yes

• 11, No

• 7, No

• 7, Yes

What is prime factorization?

• Writing a number as the sum of its prime factors.

• Writing a number as the quotient of its prime factors.

• Writing a number as the product of its prime factors.

• Writing a number as the difference of its prime factors.

Which of the following is a prime number?

• 6

• 3

• 4

• 8

What is the prime factorization of 48?

• 2^4 * 3

• 2^3 * 4

• 2^2 * 6

• 2^5 * 3

What is the purpose of using a factor tree?

• To find the quotient of factors.

• To find the difference of factors.

• To find the prime factorization of a number.

• To find the sum of factors.