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I wonder if this could work for negative numbers.

The colours each represents numbers.

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The colours, one colour only(except grey)are prime numbers(except 10 and above)are prime numbers. While the composite numbers are in the simplest index notation.

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They are represented in index notation.

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Number 1 is grey.
Number 2 is orange.
Number 3 is green.
Number 5 is blue.
Number 7 is purple.
Prime numbers 10 and above is red.
The other numbers are in index notation.

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I notice colors around the numbers.

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we noticed that red means that it is not a factor of any other number in the 20 numbers, there is a white circle around all the numbers as 1 is grey and technically white thus all the numbers are have a factor of 1 thus there is a white circle around all the numbers, thirdly, the different sections in the circles represent prime factors to get the number in the middle, and there are many colours for the many different prime factors

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Based on the picture, every prime number has its own color. So what about the colors on the composite numbers? Well, the quantity of slices of a specific color is the product of the specific prime number based on the picture, so let's use the number 12, we see there are two orange slices and one green slice so the prime factorisation of 12 is 22 * 3

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2=orange
2x2=4
2×2(4)x2= 8 (which is why there are 3 orange bars in 8)

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Numbers with red can only be alone or with orange

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grey = only for 1
orange= multiples of 2/even numbers
green = multiples of 3
blue = multiples of 5
purple = multiples of 7
red = multiple of every other prime number
(e.g. red 11 = multiples of 11)

number of segments = number of pairs of factors

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Number of shapes in the circle make up how many different ways to divide the number.
Orange means that the number is divisible by 2
Green means the number is divisible by 3
Blue means the number is divisible by 5
Purple means the number is divisible by 7
Red means that the number is a prime number above 10
Grey means 1

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The colours represent the factors/multiples of the numbers.

I wonder if this would be feasible during exams.

Nathan

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The colours help to represent the factors of the numbers stated and their multiples as well.

Nathan

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You may find this useful for your analysis

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Discuss and enter your responses:
1. What do you notice?
2. List down as many things that you notice.
3. What do you wonder?What do the colours represent?
4. How did the colours come about?
5. Why are they represented that way?