Prime or Composite: Using Area Models to Determine Number Types

The video tutorial explains how to determine if a number is prime or composite using area models. It begins by introducing the concepts of prime and composite numbers, followed by a review of area models and common misconceptions about odd numbers. The tutorial then demonstrates how to identify prime numbers by showing that they have only one set of factors, 1 and itself, using the number 5 as an example. It contrasts this with composite numbers, which have multiple sets of factors, using the number 9 as an example. Finally, the tutorial applies these concepts to determine that the number 15 is composite, as it can be represented by more than one area model.

What is the primary method used in the video to determine if a number is prime or composite?

• Using area models

• Using division

• Using subtraction

• Using addition

Which of the following is a characteristic of a prime number?

• It is always an even number

• It can be shown with multiple area models

• It can be divided by 1 and itself only

• It has multiple sets of factors

Why is the number 5 considered a prime number?

• It can be shown with a 3 by 3 array

• It is an even number

• It can be divided by 2 and 3

• It has only one set of factors: 1 and 5

What makes the number 9 a composite number?

• It has no factors

• It is an odd number

• It can be shown with a 1 by 9 and a 3 by 3 array

• It can only be divided by 1 and 9

How can the number 15 be represented to show it is composite?

• With a 1 by 15 and a 3 by 5 array

• With a 5 by 5 array

• With a 2 by 7 array

• With a 4 by 4 array