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1. Numbers as shapes

In maths we can draw numbers as shapes. When we draw them, they can be either a Square, Stick or Wide Rectangle. Have a look at the numbers drawn below.

The number 1 is a square, but it is only one square.
The number 2 can't be drawn as a square or a wide rectangle, so we call it a stick.
The number 3 can't be drawn as a square or a wide rectangle, so we call it a stick.
We can draw the number 4 as a square.
The number 5 can't be drawn as a square or a wide rectangle, so we call it a stick.
We can draw the number 6 as a wide rectangle.

Try drawing the number seven. Can you make it into a square or wide rectangle?
Try making the numbers up to 20. Which ones can be drawn only as sticks? Which ones can make squares? Which ones make rectangles?


Numbers that can be squaresNumbers that can be sticksNumbers that can be rectanglesNumbers that can only be sticks
1262
4383
94105
165127
 61411
 71513
 81617
 91819
 1020 
 11  
 12  
 13  
 14  
 15  
 16  
 17  
 18  
 19  
 20  


Notice that the numbers that can only be rectangles are called Prime Numbers. Each prime number has only two factors, 1 and itself.
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