Post on 30-Mar-2015
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?