Prime and Composite Numbers

Guillermo Bautista, May 13, 2022


  • 1. Forming Rectangles with Squares
  • 2. Factors and Factorization
  • 3. Searching for Factorizations
  • 4. Prime and Composite Numbers
  • 5. Summary and Practice Exercise

1.

Forming Rectangles with Squares

A [b]unit square[/b] is a square with a side length of 1 unit. The rectangle below was formed using 6 unit squares. Its dimensions are 1 unit × 6 units or simply 1 × 6.[br]
TASK
Using the [b][color=#93c47d]Square tool[/color][/b], form as many rectangles as you can using [b]exactly[/b] 6 unit squares.[br]
Question 1
What are the dimensions of the rectangles that you have formed?
Question 2
We know that a 1 × 6 and a 6 × 1 rectangle are just the same rectangle (Why?), so we can count them as [b]one rectangle[/b]. Now that we know this, how many rectangles can we form if we use exactly 6 unit squares?
Question 3
How many rectangles can we form if we only use exactly 5 squares?
– Guillermo Bautista

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