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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?

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You may find this useful for your analysis

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I NOTICE
-prime numbers are marked fully in red
-multiples of 2 have orange in their circles
-multiples of 3 have green in their circles
multiples of 5 have blue in their circles
multiples  of 7 have purple in their circles.
-colour arrangement: starting from 12 o clock position, number colour will be arranged clockwise, the least value comes first.
-multiples of prime numbers are included at the last bit of their product, with the value of that prime number mentioned.
For example, 70 has 2,5 and 7 in the wheel, arranged in that order.
65, which is 13 divided by 5, has a red colour 13 at the last section of the wheel.
-numbers can have double colours if a factor of that number is the square root of the number represented by the colour.
-double colour numbers are placed at the last part of the circle as they have considered higher value than aforesaid smaller numbers.
I WONDER
-is there a better way to represent the multiples?
-who came up with this idea?
-what would be the classification of 3000 since it is the multiple of many others?
-what would the result be if a number in the circle is a multiple of a prime number too large to fit in the wheel?
Who created this board?
How can we further make it more efficient?
Can it be done to any number up to 1000?
Can it be presented any other way?

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Aden,Angelyn,Kasper,Kieren

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Prime Numbers are RED
Numbers that are multiples of 2 are ORANGE
Numbers that are multiples of 3 are GREEN
Numbers that are multiples of 5 are BLUE
Numbers that are multiples of 7   are PURPLE
This chart finds the prime factorism of every number.
I wonder...
Who created this masterpiece?
How can we further improve it?
Can it be done to ANY number?

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I notice the num

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Grey=1, Yellow=2, Green=3, Blue=5, Purple=7, Fully Red=prime no.s above 7.
2 Yellows=2x2, 2 Greens=3x3, 1 Yellow and 1 Green=2x3 and so on. All of the colours represent prime no.s and each no. in the graph is shown in index formation. Multiples of prime no.s above 7 are shown in partial red with the value of that prime no. shown on the red colour.
I wonder who created this graph and for what reason?
-By Lucas

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The colours of the ring indicate its prime factors or the fact whether or not it is a prime number above 10

Example: 11 is a prime number above 10 so it s ring is red

12 is not a prime number thus its rings are not red however different colours. It’s prime factors are 2,2,3 , meaning that 2x3x2=12 The colours of 2 and 3 is orange and green respectively. As 12 is 2x2x3… there are two orange bars to represent 2 twos and one green bar representing one 3

Another example is 22 with is rings being red and yellow. This means that it’s prime factors are 2 and 11. 11 has the colour red representing it and so does any other prime numbers a above 10. The number inside is to show what number the red bar is representing this For 22, the ring colours are one bar of orange (representing one 2) and one bar of red with the number 11 inside (representing one 11).

I wonder who came up with is peculiar way of finding out which are there prime factors of a number.

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Zi Xuan, Samuel, Yong Qi, Wei Zong

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Yi Seng, Matthieu, Tian Qi, Jayden

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The ones with a full circle are prime numbers.

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Question 1. I notice that 1,2,3,5,7 have their own colour
Question 2. I also notice prime numbers have red colouring except for 1,2,3,5,7 ,also I notice the colours represent the prime factorisation of the numbers .

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All the numbers are prime factorised.
2 is the only even prime number.
The grey colour is only used on 1.

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1. I noticed that those with multiple lines are composite numbers while those that have no lines in them are prime numbers (except ‘1’).
2. Grey represents ‘1’, Orange represents ‘2’, Green represents ‘3’, Blue represents ‘5’, Purple represents ‘7’, those with multiple  lines, you can multiply the colours to become the number.
3. I wonder why every other prime numbers are red
4. The colours represents the numbers prime factorisation.
5. The colours are at the simplest forms, prime numbers, and when u multiply all of them, it will become the number that it represents
-Jayden

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I wonder why the prime numbers above 10 are all the same colour.

The colours means the numbers that multiply together to make the number in the middle. For example, 54=2(orange)x3(green)x3x3

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The colours are from the prime numbers. The colours around a composite number has its prime factors around it.

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It is easier to take reference and can tell us clearly how the numbers come about.

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3. Numbers with the factor of the previous number. eg. 20's blue colour represents 5 and orange is 2 two tmes which is 4 as 4 times 5 is 20. 10 is blue and orange so 2 times 10 also gives twenty

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4. From the prime numbers such as 2,3,5,7 and they will multiply to get the number. around the number consists of the prime numbers

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5. So it is more simplified and easier to see how the number come about from the colours of the prime numbers

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3. I wonder...
why would they just put 1 as grey colour but all numbers can multiply by one but there is no the numbers with grey colour around the numbers.
why out of anything else the creator of this graph chose to do this graph
what is this graph called?
is this the most simplified version of the factors?
is there any reason why the colours for the numbers like that?