My Special My Special NumberNumber

AfrinAfrin

12/10/200712/10/2007

My Special NumberMy Special NumberWhy 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

My Special NumberMathematical 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.

My Special Number• 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

My Special Number• 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

My Special Number• 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.

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My Special Number

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

6

10

My Special My Special NumberNumberMathematical Reflections 1-Mathematical Reflections 1-

I’ve learned that none of 1,2,3,4,5,6,7,8 or 9,(on the factor list, I’ve 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 in the product game) can be multiplied by each othereach other to get my to get my special number, 60. I found out by factor pairs (in this case, 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 none of the factor pairs of 60 can be made with the numbers on the factor list).the factor list).

My number would not be a good first move in either of the My number would not be a good first move in either of the games (factor and product game) because in the factor game, games (factor and product game) because in the factor game, there isn’t a 60 on the board, and even if there was a 60, it there isn’t a 60 on the board, and even if there was a 60, it wouldn’t have been a good move because it is an abundant wouldn’t have been a good move because it is an abundant number, so you get 60, but the opponent gets 108. 108>60. And 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 in the product game, none of the factors can be multiplied by each othereach other to get 60, therefore 60 can’t be on the board. to get 60, therefore 60 can’t be on the board.

My Special NumberMy Special NumberMathematical Reflections 2-Mathematical Reflections 2- My number has 6 factor pairs-1x60, 2x30, 3x20, 4x15, 5x12, My number has 6 factor pairs-1x60, 2x30, 3x20, 4x15, 5x12,

6x106x10

My number is an even number, because 60 has 2 as a factor. (2 My number is an even number, because 60 has 2 as a factor. (2 goes evenly into 60, 30 times).goes evenly into 60, 30 times).

60 is not a square No. because if we make a rectangle for 60, 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 the tiles will not be able to form a square. Secondly the square root of 60 is not a whole number. root of 60 is not a whole number.

My Special NumberMy Special NumberMathematical Reflections 3-Mathematical Reflections 3- The least common multiple of 20 and 30 is 60, because The least common multiple of 20 and 30 is 60, because

Multiples of 20=20,40,Multiples of 20=20,40,6060,80,100,120..etc.Multiples of ,80,100,120..etc.Multiples of 30=30,30=30,6060,90,120,150..etc. LCM=,90,120,150..etc. LCM=60. 60. LCM of 15 and 20 is 60, LCM of 15 and 20 is 60, because Multiples of 15= 15,30,45,because Multiples of 15= 15,30,45,6060,75…. Multiples of 20= ,75…. Multiples of 20= 20,40,20,40,6060,80,100….LCM=,80,100….LCM=6060

The Greatest common Factor of 120 and 180 is 60, because 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,Factors of 120:1,2,3,4,5,6,10,12,15,20,30,6060,120. Factors of ,120. Factors of 180:1,2,3,4,5,6,9,10,15,20,30, 180:1,2,3,4,5,6,9,10,15,20,30, 6060,90,180. GCF=,90,180. GCF=60.60. Similarly Similarly GCF of 240 and 300 is 60, because Factors of GCF of 240 and 300 is 60, because Factors of 240:1,2,3,4,5,6,8,10,12,15,20,30,240:1,2,3,4,5,6,8,10,12,15,20,30,6060,120,240. Factors of ,120,240. Factors of 300:1,2,3,4,5,6,10,15,20,30,50,300:1,2,3,4,5,6,10,15,20,30,50,6060,75,100,150,300. GCF=,75,100,150,300. GCF=60.60.

My Special NumberMy Special NumberMathematical Reflections 4-Mathematical Reflections 4- The prime factorization of 60 is 2x2x3x5, because this is The prime factorization of 60 is 2x2x3x5, because this is

the unique string of prime factors resulting to (product) 60.the unique string of prime factors resulting to (product) 60.

Exponent of the prime factorization of 60:2Exponent of the prime factorization of 60:222x3x5x3x5

60 and 61 are relatively prime, because their GCF is 1.60 and 61 are relatively prime, because their GCF is 1.

My Special NumberConnections-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

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

60th anniversary is supposed to be a diamond anniversary

Historical:

The ancient Babylonians used a base 60 number system.

My Special Number

Extra Facts-

60 is the: 30th even number Product of 2nd and 15th 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) 3 interior angles of an equilateral triangle each measure

60 degrees

My Special NumberMy Special Number

Quiz Time!Quiz Time!1.1.What are the factors of 60?What are the factors of 60? The factors of 60 are 1,2,3,4,5,6,10,12,15,20,30,60The factors of 60 are 1,2,3,4,5,6,10,12,15,20,30,602.2.Is 60 an Abundant, Deficient or Perfect number?Is 60 an Abundant, Deficient or Perfect number? 60 is an Abundant number.60 is an Abundant number.3.3.6060thth anniversary is supposed to be a …. Anniversary anniversary is supposed to be a …. Anniversary 6060thth anniversary is supposed to be a diamond anniversary. anniversary is supposed to be a diamond anniversary.4.4.Is 60 a good first move in the product game?Is 60 a good first move in the product game? No, because none of the factors on the factor list can be No, because none of the factors on the factor list can be

multiplied by each other to get 60.multiplied by each other to get 60.5.5. Give the two connections number 60 has in daily life. Give the two connections number 60 has in daily life. 6060 minutes in one hour. minutes in one hour. 60 60 seconds in one minute. seconds in one minute.

Links I usedLinks I used

http://en.wikipedia.org/wiki/60_(number)http://en.wikipedia.org/wiki/60_(number) http://www.wisdomportal.com/Numbers/http://www.wisdomportal.com/Numbers/

60.html60.html http://www.virtuescience.com/60.htmlhttp://www.virtuescience.com/60.html

Glossary Link-Glossary Link- http://www.teachers.ash.org.au/jeather/http://www.teachers.ash.org.au/jeather/

maths/dictionary.htmlmaths/dictionary.html