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My Special Number My Special Number Afrin12/10/2007

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My Special Number Why I chose this number…. It is my lucky number. It has a factor(5), that is the number of letters in my name A F R I N. My grandmother is 60 years old. I am 10 years old, and my cousin sister is 6 years old, 10x6=60. Why I chose this number…. It is my lucky number. It has a factor(5), that is the number of letters in my name A F R I N. My grandmother is 60 years old. I am 10 years old, and my cousin sister is 6 years old, 10x6=60. My special number is 60

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My Special Number Mathematical facts about my number- Factors -1,2,3,4,5,6,10,12,15,20,30,60, because all of these numbers divide evenly into 60. Product of :60x1=60, 30x2=60, 20x3=60, 15x4=60, 10x6, 12x5 Proper Factors-1,2,3,4,5,6,10,12,15,20,30, because these are all the factors of 60 except for the number itself.

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Divisors-1,2,3,4,5,6,10,12,15,20,30,60, because all of these numbers divide evenly into 60 (60x1) (60x2) (60x3) (60x4 ) (60x5) (60x6) ( 60x7) (60x8) (60x9 ) (60x10) Multiples: 60,120,180,240,300,360,420,480,540,600 Divisible by-1,2,3,4,5,6,10,12,15,20,30,60, because 60 can be divided evenly by these numbers 60 is a composite number because 60 has more than 2 factors. 60 is an abundant number, because all the proper factors of 60 add up to more than 60. 1+2+3+4+5+10+5+20+30=108>60

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60 is not a square number, because the square root of 60 is not a whole number-(7.74596….) Sum of (numbers when added together make 60) 59+1=60, 58+2=60…etc. Difference between (numbers when subtracted by each other, make 60) 90 and 30 is 60, 85-25=60, 70- 10=60….etc. Prime Factorization-2x2x3x5=60

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Remainder- 60 divided by 7=8 – Remainder is 4. Similarly 60 divided by 9=6 – remainder is four. etc. Quotient of: 180 divided 3 = quotient is 60, 240 divided by 4 = quotient is 60. Dividend: eg. 60 divided by 4 =15, here, 60 is the dividend. Being ten times a perfect number(6), 60 is a semiperfect number. Click here

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Dimensons of a rectangle are the lengths of its sides. For example- 6 10

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My Special Number Mathematical Reflections 1- Mathematical Reflections 1- Ive learned that none of 1,2,3,4,5,6,7,8 or 9,(on the factor list, in the product game) can be multiplied by each other to get my special number, 60. I found out by factor pairs (in this case, none of the factor pairs of 60 can be made with the numbers on the factor list). Ive learned that none of 1,2,3,4,5,6,7,8 or 9,(on the factor list, in the product game) can be multiplied by each other to get my special number, 60. I found out by factor pairs (in this case, none of the factor pairs of 60 can be made with the numbers on the factor list). My number would not be a good first move in either of the games (factor and product game) because in the factor game, there isnt a 60 on the board, and even if there was a 60, it wouldnt have been a good move because it is an abundant number, so you get 60, but the opponent gets 108. 108>60. And in the product game, none of the factors can be multiplied by each other to get 60, therefore 60 cant be on the board. My number would not be a good first move in either of the games (factor and product game) because in the factor game, there isnt a 60 on the board, and even if there was a 60, it wouldnt have been a good move because it is an abundant number, so you get 60, but the opponent gets 108. 108>60. And in the product game, none of the factors can be multiplied by each other to get 60, therefore 60 cant be on the board.

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My Special Number Mathematical Reflections 2- My number has 6 factor pairs-1x60, 2x30, 3x20, 4x15, 5x12, 6x10 My number has 6 factor pairs-1x60, 2x30, 3x20, 4x15, 5x12, 6x10 My number is an even number, because 60 has 2 as a factor. (2 goes evenly into 60, 30 times). My number is an even number, because 60 has 2 as a factor. (2 goes evenly into 60, 30 times). 60 is not a square No. because if we make a rectangle for 60, the tiles will not be able to form a square. Secondly the square root of 60 is not a whole number. 60 is not a square No. because if we make a rectangle for 60, the tiles will not be able to form a square. Secondly the square root of 60 is not a whole number.

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My Special Number Mathematical Reflections 3- The least common multiple of 20 and 30 is 60, because Multiples of 20=20,40,60,80,100,120..etc.Multiples of 30=30,60,90,120,150..etc. LCM=60. LCM of 15 and 20 is 60, because Multiples of 15= 15,30,45,60,75…. Multiples of 20= 20,40,60,80,100….LCM=60 The least common multiple of 20 and 30 is 60, because Multiples of 20=20,40,60,80,100,120..etc.Multiples of 30=30,60,90,120,150..etc. LCM=60. LCM of 15 and 20 is 60, because Multiples of 15= 15,30,45,60,75…. Multiples of 20= 20,40,60,80,100….LCM=60 The Greatest common Factor of 120 and 180 is 60, because Factors of 120:1,2,3,4,5,6,10,12,15,20,30,60,120. Factors of 180:1,2,3,4,5,6,9,10,15,20,30, 60,90,180. GCF=60. Similarly GCF of 240 and 300 is 60, because Factors of 240:1,2,3,4,5,6,8,10,12,15,20,30,60,120,240. Factors of 300:1,2,3,4,5,6,10,15,20,30,50,60,75,100,150,300. GCF=60. The Greatest common Factor of 120 and 180 is 60, because Factors of 120:1,2,3,4,5,6,10,12,15,20,30,60,120. Factors of 180:1,2,3,4,5,6,9,10,15,20,30, 60,90,180. GCF=60. Similarly GCF of 240 and 300 is 60, because Factors of 240:1,2,3,4,5,6,8,10,12,15,20,30,60,120,240. Factors of 300:1,2,3,4,5,6,10,15,20,30,50,60,75,100,150,300. GCF=60.

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My Special Number Mathematical Reflections 4- The prime factorization of 60 is 2x2x3x5, because this is the unique string of prime factors resulting to (product) 60. The prime factorization of 60 is 2x2x3x5, because this is the unique string of prime factors resulting to (product) 60. Exponent of the prime factorization of 60:2 2 x3x5 Exponent of the prime factorization of 60:2 2 x3x5 60 and 61 are relatively prime, because their GCF is 1. 60 and 61 are relatively prime, because their GCF is 1.

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My Special Number Connections- Fun Facts: Crocodiles lay 60 eggs and incubate them for 60 days! A flower named Bambey Rose has approximately 60 petals! There are 60 species of moss in Antarctica The average depth of the Irish Sea is 60 meters Daily life: 60 seconds in one minute 60 minutes in one hour

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My Special Number Cultural : There are five elements and twelve animals in the Japanese cycle of life combining to make a 60 year cycle. Chinese astrologers use a 60 year cycle and lunar calendar 60 th anniversary is supposed to be a diamond anniversary Historical: The ancient Babylonians used a base 60 number system.

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Extra Facts- 60 is the: 30 th even number Product of 2 nd and 15 th even numbers(2x30) is 60 Smallest number with 12 different factors Smallest number divisible by 1 through 6 5 dozen equals to 60 sum of a pair of twin primes (29 + 31)twin primes 3 interior angles of an equilateral triangle each measure 60 degreesequilateral triangledegrees

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My Special Number Quiz Time! 1.What are the factors of 60? The factors of 60 are 1,2,3,4,5,6,10,12,15,20,30,60 2.Is 60 an Abundant, Deficient or Perfect number? 60 is an Abundant number. 3.60th anniversary is supposed to be a …. Anniversary 60th anniversary is supposed to be a diamond anniversary. 4.Is 60 a good first move in the product game? No, because none of the factors on the factor list can be multiplied by each other to get 60. 5. Give the two connections number 60 has in daily life. 60 minutes in one hour. 60 seconds in one minute.

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Links I used http://en.wikipedia.org/wiki/60_(number) http://en.wikipedia.org/wiki/60_(number) http://en.wikipedia.org/wiki/60_(number) http://www.wisdomportal.com/Numbers/60.html http://www.wisdomportal.com/Numbers/60.html http://www.wisdomportal.com/Numbers/60.html http://www.virtuescience.com/60.html http://www.virtuescience.com/60.html http://www.virtuescience.com/60.html Glossary Link- Glossary Link- http://www.teachers.ash.org.au/jeather/maths/ dictionary.html http://www.teachers.ash.org.au/jeather/maths/ dictionary.html http://www.teachers.ash.org.au/jeather/maths/ dictionary.html http://www.teachers.ash.org.au/jeather/maths/ dictionary.html

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