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My Special Number 63 Love the slide numbers 1 By John Kim

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**Index 2 Why I chose the number. Pg: 4**

Three or four connections related to my own world. Pg: 5 Three, four or more mathematical facts about my number Pg: 6 Is my number good for the first move for the Factor Game and the Product Game? Pg: 7 Is my number odd or even? How many factor pairs does it have? Pg: 8 Can you organise the formatting so words aren’t broken, and all the Pgs line up, John? 2

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**Index 3 Square #s and dimensions Pg: 9 Venn Diagram Pg: 10**

The prime Factorization of Pg:11 Common multiples and factors Pg:12 The factor string and relatively prime of Pg:13 Glossary Pg:14~18 This is all about my special number Pg:19 The End Pg:20 3

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Why I chose the number 63. I chose that because my dad was born in 1963 and I love my dad. I also chose it because for the number 1 to 10, I like 6 best and 3 next. When you multiply 6 by 3, it is 18. I also like 18 so I also like 63 by a mathematical fact. 4

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**Three or four connections related to my own world.**

My dad was born in 1963. My mom’s height is 1m 63cm. There is one building name 63 building in Korea which I went many times and it is the tallest building in Korea. I was born at 6:30am in Nov. 29th 1995. Check wiki checklist - can you find some social/cultural or scientific etc facts about this number? These are really why 63 is significant for you personally. 5

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**Three, four or more mathematical facts about my number.**

63 is a factor of 126. 63 is a multiple, divisor of 1,3,7,9 and 21. 126 is a divisor of 63. Some multiples of 63 is 126, 189, 252, etc…… 63 is divisible by 126. 63 is a deficient number because when you the proper factor, it is less than the number itself. 63 is a multiple of 1, 3, 7, 9 and 21. These numbers are all divisors of 63. (Divisor means they will divide into the given number - 63 won’t divide into 1, 3, …) 126 is a multiple of 63, but this is repeated in the next line.63 is not divisible by 126, 126 is divisible by 63, OK? WHEN YOU DO WHAT WITH THE PROPER FACTORS??? 6

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**Is my number good for the first move for the Factor Game and the Product Game?**

For the factor game, my number doesn’t appear. For the product game, it would be bad move because the good first move is in the middle, but my special number is at the last line. You have to imagine a Factor Game with 63 on it. Would it be a good first move? Who would get more points, you or your opponent? Can you format so words aren’t broken? “a bad first” - need to add “a” and “first”. “on” not “at”. Why is the middle the best place for a first move? Explain, OK? 7

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**Is my number odd or even? How many factor pairs does it have?**

My number is an Odd Number. It is not an Even Number. My number has 5 factor pairs. Those are 1 63, and 7 9. 1,3,7,9, and 21 is a factor and divisor of 63 and 63 is a multiple and divisible by 1,3,7,9, and 21. WHY IS YOUR NUMBER ODD???? Formatting Last bullet point: “are factors” not “is a factor”; add “of” after multiple 8

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**The prime Factorization of 63 and the exponents.**

For the factor tree it is 21 3 3 1 7 3 So the prime factorization is is 21, is 7, and is 1, so the prime factorization for 63 is The exponents of 63 is 3 squared 7. Formatting? It may be this computer! This is a GOOD page of info, John! 11

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**Common multiples and factors.**

The common multiples of 63 and 36 is 252 because is 21, is 7 and is 12, is 4, is 2 ,so 3 3 = 252. The common factors of 63 and 36 is 9 because factors of 63 is 1,3,7,9, and 63 and factors of 36 is 1,2,3,4,6,9,12,18, and 36, so the common factors is 9. Do you mean LEAST common multiple and GREATEST common factor? “multiple” not “multiples” “factor” not “factors” “are” not “is” when you list factors 12

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**The factor string and relatively prime of 63.**

For # 63, the factor string is 63 and 61 is relatively prime because their greatest common factor is 1. Also 25 and 63 is relatively prime because their greatest common factor is 1 too. Formatting? Good info!! 13

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**Square #s and Dimensions**

63 is not a square number. I will just show you the examples of square #. Square #s are numbers like 5 5 is 25 and 25 is an square number. For example, 6 6 is 36 and 36 is a square number. One example of Dimensions, 63: Is this meant to be page 12? I REALLY like the way you explain square numbers and why 63 is not square - nice thinking!! 9

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**10 Venn diagram A Venn diagram looks like a circle or an oval.**

You can use a Venn diagram to find common multiples or factors. If you find common multiples or factors, you put the numbers in an intersection and this is how an intersection looks like: intersection Page 13? How about putting some numbers in the different segments? Great diagram! 10

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Glossary Factor: # that fits evenly into another #, example: 4 is a factor of 12. Divisor: # that divides evenly into another #, example: 5 is a divisor of 15. Product or multiple: When we multiply 2 or more #s, the answer is product- example: 21=3 7. Deficient number: Proper factors add up to less than the # itself, example: primes: 9, 15, etc.. Quotient: An answer to a division problem. For example, is 3. 3 is a quotient. For deficient, you need to show the proper factors of 9 or 15 and add them to SHOW they sum to less than the given number 14

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Glossary Proper factor: All the factors of a # except the # itself, example: proper factor of 12 is 1,2,3,4,6. NOT 12. Odd #: A whole # that is not a multiple of 2, example: 1, 3,5,9, etc… Relatively prime #s: A pair of #s with no common factors except for 1. For example 2 and 3 is a relatively prime # because their GCF is 1. 15

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Glossary Even #: A multiple of 2. When you divide an even # by 2, the remainder is 0. Example: 0,2,4,6,8, etc.. Remainder: The leftover # when division doesn’t happen evenly. For example, 20 divide by 7 is 2 remainder 6. Factor pair: Two whole #s that are multiplied to get a product. For example: 4 and 13 is a factor pair of 52 because when you multiply 13 by 4, it is 52. Exponent: The small raised # that tells you how many times a factor is used. For example, 5 cubed means 16

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Glossary Venn Diagram: A diagram in which overlapping circles are used to show relationships among sets of objects that have certain contributes. Prime factorization: A product of prime #s, perhaps with some repetitions, resulting in the desired #. For example, the prime factorization of 30 is Dimensions: Rectangle that are the length of its side. 17

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Glossary Common multiple: A multiple that 2 or more #s share. For example, the first few multiples of 5 are 5,10,15,20,25,30,35,35, and 40. Multiples of 7 are 7,14,21,28,35,42, and 49. the common multiples of 5 and 7 is 35. Common factor: A factor that 2 or more #s share. For example, 5 is a common factor of 15, and 25 because 5 can go into those #s. 18

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**This is all about My Special Number.**

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The End You have done an enormous amount of work, John - well done! Try to edit before we mount to the wiki, OK? We may need to ask mr Foong or Ms Lori about that formatting if it’s because of moving from one computer to another. 17/20 20

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