my special# my special# by: kelly hazejager by: kelly hazejager

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My special# By: Kelly Hazejager

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Page 1: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

My special#My special#

By: Kelly HazejagerBy: Kelly Hazejager

Page 2: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Why I chose 36:Why I chose 36:

I found this number interesting because it is a square number.

The number that makes it a square number is 6 because 6 times 6 is 36, and the number ends in a 6, that is what I found so interesting.

Also another reason is that 6 years ago my father was 36.

I found this number interesting because it is a square number.

The number that makes it a square number is 6 because 6 times 6 is 36, and the number ends in a 6, that is what I found so interesting.

Also another reason is that 6 years ago my father was 36.

Page 3: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

FactorsFactorsHere are all the

different factors of 36.

Factors of 36: 1,2,3,4,6,9,13,18,36.

Here are all the different factors of 36.

Factors of 36: 1,2,3,4,6,9,13,18,36.

Page 4: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Proper Factors Proper Factors

The proper factors of 36 are: 1,2,3,4,6,9,12, and 18

36 is not a proper factor of itself because proper factors of a number are the factors except for the number itself.

The proper factors of 36 are: 1,2,3,4,6,9,12, and 18

36 is not a proper factor of itself because proper factors of a number are the factors except for the number itself.

Page 5: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

MultiplesMultiples

Some of the multiples of 36 are:

36, 72, 108, 144, 180.Multiples go on forever so I

would never finish with that list.

Some of the multiples of 36 are:

36, 72, 108, 144, 180.Multiples go on forever so I

would never finish with that list.

Page 6: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Mathematical factsMathematical facts

6 times 6 is 362 times 18 is 3636 divided by 3 is 1236 divided by 9 is 436 divided by 12 is 3

6 times 6 is 362 times 18 is 3636 divided by 3 is 1236 divided by 9 is 436 divided by 12 is 3

Page 7: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Connections to the real world

Connections to the real worldMy number is related to the real

world in many ways. For example in the morning after

breakfast I might have 36 more minutes till I have to go to school, or I might have to do 36 questions in one of my classes.

There might be 36 days till someone’s b-day, and the final one is I will probably have to use the number 36 in my Math class.

My number is related to the real world in many ways.

For example in the morning after breakfast I might have 36 more minutes till I have to go to school, or I might have to do 36 questions in one of my classes.

There might be 36 days till someone’s b-day, and the final one is I will probably have to use the number 36 in my Math class.

Page 8: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

My number in the factor game

My number in the factor game

My number wasn’t in the factor game because 36 isn’t normally a factor.

The highest number on the factor game is 30.

That is why 36 is not in the factor game.

My number wasn’t in the factor game because 36 isn’t normally a factor.

The highest number on the factor game is 30.

That is why 36 is not in the factor game.

Page 9: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

My number in the Product game

My number in the Product game

In the product game I learned that my number was not a very good move because then you could only make four in a row diagonal (one way) up, down, right and that is all.

Which means that you wont have much choice If you choose that number.

In the product game I learned that my number was not a very good move because then you could only make four in a row diagonal (one way) up, down, right and that is all.

Which means that you wont have much choice If you choose that number.

Page 10: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

First moveFirst move

My number is not in the factor game

My number would not be a good first move because as I said before then you can only go one diagonal, up, down and right. It is better to choose a number in the middle for a first move.

My number is not in the factor game

My number would not be a good first move because as I said before then you can only go one diagonal, up, down and right. It is better to choose a number in the middle for a first move.

Page 11: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Anything to do with factors

Anything to do with factors

My number is abundant because its proper factors add up to 56 which is more than the number itself.

My number has five factor pairs which means the numbers are multiplied by each other to get 36.

My number is even since it can be divided by 2.

My number is a composite since it has 3 or more factors.

My number is abundant because its proper factors add up to 56 which is more than the number itself.

My number has five factor pairs which means the numbers are multiplied by each other to get 36.

My number is even since it can be divided by 2.

My number is a composite since it has 3 or more factors.

Page 12: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Dimensions Dimensions

My number has 5 dimensions, in other words 5 factor pairs.

The dimensions are: 1 times 36 is 36, 2 times 18 is 36, 3 times 12 is 36, 4 times 9 is 36, 6 times 6 is 36. Those are the dimensions.

You can show dimensions by making models.

My number has 5 dimensions, in other words 5 factor pairs.

The dimensions are: 1 times 36 is 36, 2 times 18 is 36, 3 times 12 is 36, 4 times 9 is 36, 6 times 6 is 36. Those are the dimensions.

You can show dimensions by making models.

Page 13: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

A Model of 36A Model of 36

           

           

            6

           

           

           

6

6×6=36

Page 14: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Why is it square??Why is it square??

The number 36 is square because if you had 36 dots you could arrange it in a square.

The number 36 is square because if you had 36 dots you could arrange it in a square.

Page 15: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

What else?What else?

Did you know that 36 is also a triangular number because, of the same reason, if you had 36 dots you could arrange it in a triangle.

Did you know that 36 is also a triangular number because, of the same reason, if you had 36 dots you could arrange it in a triangle.

Page 16: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Did you know?Did you know?

36 is a 13-gonal number.

There are 36 inches in a yard.

36 is a 13-gonal number.

There are 36 inches in a yard.

Page 17: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Prime factorizationPrime factorizationThe prime factorization of 36 is

2 times 2 times 3 times 3. You can get a prime

factorization if you make a factor tree.

36 /\ 6×6 /\ /\ 2×3×2×3

The prime factorization of 36 is 2 times 2 times 3 times 3.

You can get a prime factorization if you make a factor tree.

36 /\ 6×6 /\ /\ 2×3×2×3

Page 18: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

History History

Now you know almost everything about 36, it is about time you learned history.

In 36 BC the son of Cleopatra Vlll of Egypt and Mark Antony, Ptolemy Philadelphus was born.

Now you know almost everything about 36, it is about time you learned history.

In 36 BC the son of Cleopatra Vlll of Egypt and Mark Antony, Ptolemy Philadelphus was born.

Page 19: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

A QUIZ!!A QUIZ!!

This is a quiz about the slide show you have just seen. Hope you listened well.

If you didn’t listen you will have a hard time answering these questions.

Here they come!

This is a quiz about the slide show you have just seen. Hope you listened well.

If you didn’t listen you will have a hard time answering these questions.

Here they come!

Page 20: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Question 1Question 1

How many factors does 36 have?

How many factors does 36 have?

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Page 22: My special# My special# By: Kelly Hazejager By: Kelly Hazejager
Page 23: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Question 2Question 2

Is my number a good move in the Product Game?

Is my number a good move in the Product Game?

Page 24: My special# My special# By: Kelly Hazejager By: Kelly Hazejager
Page 25: My special# My special# By: Kelly Hazejager By: Kelly Hazejager
Page 26: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Question 3Question 3

What do 36’s Proper factors add up to?

What do 36’s Proper factors add up to?

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Page 29: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Question 4Question 4

How many dimensions does 36 have?

How many dimensions does 36 have?

Page 30: My special# My special# By: Kelly Hazejager By: Kelly Hazejager
Page 31: My special# My special# By: Kelly Hazejager By: Kelly Hazejager
Page 32: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Last questionLast question

What is the prime factorization of 36?

What is the prime factorization of 36?

Page 33: My special# My special# By: Kelly Hazejager By: Kelly Hazejager
Page 34: My special# My special# By: Kelly Hazejager By: Kelly Hazejager
Page 35: My special# My special# By: Kelly Hazejager By: Kelly Hazejager

Hope you enjoyed this slide show and learned more about

this number.36 rocks!!

Hope you enjoyed this slide show and learned more about

this number.36 rocks!!

Page 36: My special# My special# By: Kelly Hazejager By: Kelly Hazejager