Transcript My Special Number - mathematicsgradesix

My Special Number
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Afrin
12/10/2007
My Special
Number
My special number is 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
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.
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, 7010=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 Number
Mathematical Reflections 1 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 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 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
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 can’t be on the board.
My Special Number
Mathematical Reflections 2 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).
 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.
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 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.
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.
 Exponent of the prime factorization of 60:22x3x5
 60 and 61 are relatively prime, because their GCF is 1.
My Special Number
ConnectionsFun 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.
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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 Facts60 is the:
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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 Number
Quiz Time!
Please remember to click to go to
the next slide from now on.
Question # 1
1.What are the factors of 60?
 a.)1,2,3,4,5,6,10,12,15,20,30,60
 b.)1,2,3,4,6,10,12,15,20,30,60
 C.)1,2,3,4,5,6,10,12,14,15,20,30,60
Answer: A.
1,2,3,4,5,6,10,12,15,20,30,and 60,
are all factors of 60, because all of
these numbers divide evenly into 60.
Question # 2
2.Is 60 an Abundant, Deficient or Perfect
number?
a.)60 is a Perfect number
b.)60 is an Abundant number.
c.)60 is a Deficient number.
Answer: B. 60 is an abundant number
because all the proper factors of 60 add
up to more than 60.
Question # 3
3.60th anniversary is supposed to be a ….
Anniversary
a.) 60th anniversary is supposed to be a
diamond anniversary.
b.)60th anniversary is supposed to be a gold
anniversary.
C.)60th anniversary is supposed to be a
ruby anniversary.
Answer: A. The 60th anniversary is supposed
to be a diamond anniversary.
Question # 4
4.Is 60 a good first move in the product
game?
a) No, because none of the factors on the
factor list can be multiplied by each other
to get 60.
b) Yes , because some of the factors on
the factor list can be multiplied by each
other to get 60.
Answer: A. None of the factors on the factor
list can be multiplied by each other to get
60.
Question # 5
5. Give the two connections number 60 has
in daily life.
a) 60 minutes in one hour.
b) 60 seconds in one minute.
c) Both of above
Answer: C. Both, “60 minutes in one hour”
and “60 seconds in one minute” are
correct, as well as relate to daily lives.
Links I used
http://en.wikipedia.org/wiki/60_(number)
 http://www.wisdomportal.com/Numbers/60.html
 http://www.virtuescience.com/60.html
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Glossary Link http://www.teachers.ash.org.au/jeather/maths/d
ictionary.html