Prime and Composite Numbers
TASK
Click the Pen tool, choose Select Object, and double-click the table to edit it. Complete the table and take note of your observations.
Question 1
Which of the following numbers has the most number of factorizations?
Question 2
Which of the following numbers has only two factors?
Question 3
What do you think is the smallest number of factors of any number? Why?
Discussion
Numbers that have only two factors are called prime numbers. For example, 11 is a prime number because its only factors are 1 and 11. Numbers with more than two factors are called composite numbers. For example, 6 is a composite number because its factors are 1, 2, 3, and 6.
The number 1 is a special number. It is not composite and it is not prime.
Question 4
Which of the following are prime numbers?
Question 5
Which of the following are composite numbers?
Question 6
If we think of prime and composite numbers as areas of rectangles formed by unit squares, which of the following is true about them?