index why i chose the number. pg: 4 three or four connections related to my own world. pg: 5 three,...
TRANSCRIPT
![Page 1: Index 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](https://reader035.vdocument.in/reader035/viewer/2022062421/56649c595503460f94902bf1/html5/thumbnails/1.jpg)
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Index• 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
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Index• Square #s and dimensions Pg: 9• Venn Diagram Pg: 10• The prime Factorization of 63. Pg:11• Common multiples and factors. Pg:12• The factor string and relatively prime of 63. Pg:13• Glossary Pg:14~18• This is all about my special number Pg:19• The End Pg:20
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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.
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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.
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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.
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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.
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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, 3 21 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.
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The prime Factorization of 63 and the exponents.
• 63 3 is 21, 21 3 is 7, and 7 7 is 1, so the prime factorization for 63 is 3 3 7.
• The exponents of 63 is 3 squared 7.
• For the factor tree it is 63
21 3
3 1 7 3 So the prime
factorization is 3 3 7.
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Common multiples and factors.
• The common multiples of 63 and 36 is 252 because 63 3 is 21, 21 3 is 7 and 36 3 is 12, 12 3 is 4, 4 2 is 2 ,so 3 3
7 3 3 2 = 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.
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The factor string and relatively prime of 63.
• For # 63, the factor string is 3 3 7.• 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.
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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:
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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
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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, 12 4 is 3. 3
is a quotient.
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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.
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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 5 5 5.
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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 2 3 5.
• Dimensions: Rectangle that are the length of its side.
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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.
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