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The Dating Game. With Our Host,. Welcome to the Dating Game, the game where we find the greatest common factors between different numbers. Hopefully we’ll find a lot in common today!. #1. Meet Our Hot Number.

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Presentation Transcript
with our host
With Our Host,

Welcome to the Dating Game, the game where we find the greatest common factors between different numbers. Hopefully we’ll find a lot in common today!

#1

meet our hot number
Meet Our Hot Number

This is 24. She’s looking for a number that she can share the Greatest Common Factor. Can she find the number of her dreams today?

#1

Go On

her prime factors are
Her prime factors are:

Welcome to the show, 24. The first thing we need to do is find out your prime factors.

Thanks, #1. My prime factors are 2x2x2x3. You can see how I find my factors below. You’ll see there are a few ways.

#1

24=8x3

24=2x2x2x3

24=4x6

24=2x2x6

24=2x2x2x3

24=2x12

24=2x2x6

24=2x2x2x3

Go On

meet the numbers
Meet the Numbers

32

Contestant Number Two is 28.

Contestant Number One is 32.

Contestant Number Three is 44.

Go On

playing the game

Well, gentlemen. Say hello to your lady.

Playing the Game

#1

Hi, 28. No, I’ve never been here before. I’m kind of new to this.

Hi 32. It’s nice to meet you, too.

Well, hi, 44. It’s my pleasure.

Hi, 24. I’m 32. It’s so nice to meet you.

Hey there, honey. Glad to meet you. I’m 44.

Hey, 24. I am 28. Do you come here often?

32

2x2x2x3

Go On

slide7

All right, 24. Ask your questions.

Contestant Number One. What are your prime factors?

#1

Hmmm. Nice. All identical. Seems like you’re a pretty simple guy.

My prime factors are 2x2x2x2x2

Yup, I sure am.

32

32=2x2x2x2x2

2x2x2x3

Click here to see

how to factor 32.

Go On

slide8

#1

Contestant Number Two. What are your prime factors?

Sounds good to me, 28.

Sounds good to me, too.

My prime factors are 2x2x7

32

2x2x2x3

32=2x2x2x2x2

28=2x2x7

Click here to see

how to factor 28

Go On

slide9

Go On

Contestant Number Three. What are your prime factors?

#1

Yeah, you could say that.

My prime factors are 2x2x11

2x2x11. Wow. 11. Now, that’s a big prime number.

32

2x2x2x3

32=2x2x2x2x2

28=2x2x7

44=2x2x11

Click here to see

how to factor 44.

click on the number you want to see factored
Click on the number you want to see factored.

32

4x7=28

2x2x7=28

4x11=44

2x2x11=44

4x8=32

2x2x2x4=32

2x2x2x2x2=32

Go Back

slide11

#1

Hmmmm… we have 2x2x2 in common. That would mean that our Greatest Common Factor is 8.

Contestant Number One. My prime factors are 2x2x2x3. What do we have in common?

32

2x2x2x3

GCF=8

32=2x2x2x2x2

GCF=8

28=2x2x7

44=2x2x11

Go On

slide12

Contestant Number Two. What is our Greatest Common Factor?

#1

Our common factors are 2x2, which is 4. Our greatest Common Factor is 4.

32

2x2x2x3

GCF=4

32=2x2x2x2x2

28=2x2x7

GCF=4

44=2x2x11

Go On

slide13

Contestant Number Three. What factors do we have in common?

#1

Our common factors are 2x2, which is 4.

32

2x2x2x3

GCF=4

32=2x2x2x2x2

28=2x2x7

44=2x2x11

GCF=4

Go On

slide14

Well, 24, who did you choose with the Greatest Common Factor?

#1

But we do have some wonderful parting gifts, 28 and 44.

Yes, #1. I’ve chosen Contestant Number One, 32. We have the Greatest Common Factor of 8.

Cool!

All right!

Awww!

Bummer

Yay!

32

2x2x2x3

GCF = 8

32=2x2x2x2x2

GCF=8

28=2x2x7

44=2x2x11

Go On

meet our next lucky number
Meet Our Next Lucky Number

This is 48. He’s a number who is looking for a lucky lady who shares a Greatest Common Factor. Welcome, 48!

Thanks, #1. I’m very happy to be here. I can’t wait to meet the ladies.

48

#1

Go On

his prime factors are
His Prime Factors are:

Well, #1, I’m a complicated guy. There are a couple of ways we can figure that out. I can show you my factors below.

48, what are your prime factors?

48

#1

48=4x12

48=2x2x2x6

48=2x2x2x2x3

48=8x6

48=2x2x2x6

48=2x2x2x2x3

Go On

meet the numbers1
Meet the Numbers

Contestant Number Two is 40.

Contestant Number One is 36.

Contestant Number Three is 49.

Go On

slide18

Hi, 49. Looks like we’re neighbors.

#1

All right, ladies. Say hello to 48.

Likewise, 36. It’s nice to meet you, too.

Me too, 40. I’d like to have a lot in common with you.

Hi, 48. I’m 36. It’s very nice to meet you.

Hey, 48. I’m very close to you on the number line. I’m 49.

Well, hello, 48. I’m 40. I hope that we have a lot in common.

48

Go On

slide19

#1

Go ahead and ask your question, 48.

36, what are your prime factors?

My prime factors are 2x2x3x3

48

2x2x2x2x3

2x2x3x3

Click here to see

how to factor 36.

Go On

slide20

#1

My prime factors are 2x2x2x5

40, what are your prime factors?

48

2x2x2x2x3

2x2x2x5

2x2x3x3

Click here to see

how to factor 40.

Go On

slide21

Go On

#1

49, what are your prime factors?

My prime factors are 7x7.

48

2x2x2x5

7x7

2x2x3x3

2x2x2x2x3

Click here to see

how to factor 49.

slide22

Click on the number you want to see factored. Some numbers can be factored more than one way.

36=6x6

36=2x3x2x3

36=2x2x3x3

36=4x9

36=2x2x9

36=2x2x3x3

40=4x10

40=2x2x10

40=2x2x2x5

40=8x5

40=2x2x2x5

49=7x7

Go Back

slide23

#1

I told you we had a lot in common.

36, Since our common factors are 2x2x3, our Greatest Common Factor is 12.

48

2x2x2x5

7x7

2x2x3x3

GCF=12

2x2x2x2x3

GCF=12

Go On

slide24

2x2x2x5

GCF=8

#1

40, our common factors are 2x2x2. That means our Greatest Common Factor is 8.

That’s pretty great, 48.

48

7x7

2x2x3x3

2x2x2x2x3

GCF=8

Go On

slide25

Did someone say that her Greatest Common Factor is 1? Oh, 49! You and I are meant to be together!

#1

Oh, no, 49! We do not have any factors in common.

That means that our Greatest Common Factor is 1.

48

2x2x2x2x3

GCF=1

2x2x2x5

7x7

GCF=1

2x2x3x3

Go On

slide26

Hey! Where’d everyone go? Don’t leave me here all alone! #1? 48? 36? We may not have been the greatest, but we did have some things in common. Hey! Come back! Is it me? It can’t be me! 40 isn’t bad! In fact, they say 40 is the new 20…..

Well, 36, you and I have 12 as our GCF. Want to go do some problems?

Do I at least get some parting gifts?

OOooh, 48. That sounds so romantic. Let’s go.

48

2x2x2x5

2x2x2x2x3

GCF=12

2x2x3x3

GCF=12

End

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