The Dating The Dating GameGame

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!

Meet Our Hot NumberThis 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?

Go On

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.

Go On

24=8x3

24=2x2x2x3

24=4x6

24=2x2x6

24=2x2x2x3

24=2x12

24=2x2x6

24=2x2x2x3

Meet the Numbers

Contestant Number One

is 32.

Contestant Number

Three is 44.

Contestant Number Two

is 28.

Go On

Playing the Game

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?

Well, gentlemen. Say hello to your lady.

Hi 32. It’s nice to

meet you, too.

Well, hi, 44. It’s my

pleasure.

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

to this.

2x2x2x3

Go On

My prime factors are 2x2x2x2x2

All right, 24. Ask your questions.

Contestant Number One. What are your prime factors?

32=2x2x2x2x2

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

simple guy.Yup, I sure

am.

2x2x2x3Click here to seehow to factor 32. Go On

My prime factors are

2x2x7

32=2x2x2x2x2 28=2x2x7

Contestant Number Two. What are your prime factors?

Sounds good to

me, 28.

Sounds good to

me, too.

2x2x2x3

Click here to seehow to factor 28

Go On

My prime factors are

2x2x11

32=2x2x2x2x2 44=2x2x11

Contestant Number Three. What are your prime factors?

2x2x11. Wow. 11. Now, that’s

a big prime number.

Yeah, you could say

that.

28=2x2x72x2x2x3

Click here to seehow to factor 44.

Go On

Click on the number you want to see factored.

4x11=44

2x2x11=444x8=32

2x2x2x4=32

2x2x2x2x2=32

4x7=28

2x2x7=28

Go Back

32=2x2x2x2x2

GCF=8

44=2x2x1128=2x2x72x2x2x3

GCF=8

Contestant Number One.

My prime factors are

2x2x2x3. What do we have in

common?

Hmmmm… we have 2x2x2 in common. That

would mean that our Greatest

Common Factor is 8.

Go On

Our common factors are 2x2, which is 4. Our

greatest Common Factor is 4.

32=2x2x2x2x2 44=2x2x11

Contestant Number Two.

What is our Greatest Common Factor?

28=2x2x7

GCF=4

2x2x2x3

GCF=4 Go On

Our common factors are

2x2, which is 4.

32=2x2x2x2x2 44=2x2x11

GCF=4

Contestant Number Three. What factors do

we have in common?

28=2x2x72x2x2x3

GCF=4 Go On

32=2x2x2x2x2

GCF=8

44=2x2x1128=2x2x72x2x2x3

GCF = 8

Well, 24, who did you choose with the

Greatest Common Factor? Yes, #1. I’ve

chosen Contestant Number One, 32.

We have the Greatest Common

Factor of 8.Yay!

Awww! Bummer

But we do have some wonderful parting gifts, 28

and 44.

Cool! All right!

Go On

Go On

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.

Go On

His Prime Factors are:

48, what are your prime

factors?

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=4x12

48=2x2x2x6

48=2x2x2x2x3

48=8x6

48=2x2x2x6

48=2x2x2x2x3

Meet the Numbers

Contestant Number One

is 36.

Contestant Number

Three is 49.

Contestant Number Two

is 40.

Go On

Go On

All right, ladies. Say hello to 48.

Hi, 48. I’m 36. It’s

very nice to meet you.

Likewise, 36. It’s nice

to meet you, too. Well, hello, 48.

I’m 40. I hope that we have a lot in common.

Hey, 48. I’m very close to you on the

number line. I’m 49.

Hi, 49. Looks like

we’re neighbors.

Me too, 40. I’d like to

have a lot in common with you.

Go On

Go ahead and ask your

question, 48.My prime

factors are 2x2x3x3

36, what are your

prime factors?

2x2x2x2x3 2x2x3x3

Click here to seehow to factor 36.

Go On

My prime factors are 2x2x2x5

40, what are your

prime factors?

2x2x2x2x3 2x2x3x3

Click here to seehow to factor 40.

2x2x2x5

My prime factors are

7x7.

49, what are your

prime factors?

2x2x2x2x3

2x2x3x3

Click here to seehow to factor 49.

7x72x2x2x5

Go On

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

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

Go On

I told you we had a lot in common.

36, Since our common factors are 2x2x3, our

Greatest Common Factor

is 12.

2x2x2x2x3

GCF=12

2x2x3x3

GCF=12

7x72x2x2x5

Go On

That’s pretty

great, 48.

40, our common

factors are 2x2x2. That means our Greatest Common

Factor is 8.

2x2x2x2x3

GCF=8

2x2x3x37x72x2x2x5

GCF=8

Go On

That means that our Greatest Common

Factor is 1.

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

2x2x2x2x3

GCF=1 2x2x3x37x7

GCF=1

2x2x2x5

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

2x2x2x2x3

GCF=12

2x2x3x3

GCF=12

2x2x2x5

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

some problems?

OOooh, 48. That sounds so romantic.

Let’s go.

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…..

End

Do I at least get some parting gifts?