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The Dating Game

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With Our Host, Welcome to the Dating Game, the game where we find the greatest common factors between different numbers. Hopefully well find a lot in common today!

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Meet Our Hot Number This is 24. Shes looking for a number that she can share the Greatest Common Factor. Can she find the number of her dreams today? Go On

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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. Youll see there are a few ways. Go On 24=8x3 24=2x2x2x3 24=4x6 24=2x2x6 24=2x2x2x3 24=2x12 24=2x2x6 24=2x2x2x3

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Meet the Numbers Contestant Number One is 32. Contestant Number Three is 44. Contestant Number Two is 28. Go On

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Playing the Game Hi, 24. Im 32. Its so nice to meet you. Hey there, honey. Glad to meet you. Im 44. Hey, 24. I am 28. Do you come here often? Well, gentlemen. Say hello to your lady. Hi 32. Its nice to meet you, too. Well, hi, 44. Its my pleasure. Hi, 28. No, Ive never been here before. Im kind of new to this. 2x2x2x3 Go On

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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 youre a pretty simple guy. Yup, I sure am. 2x2x2x3 Click here to see how to factor 32. Go On

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My prime factors are 2x2x7 32=2x2x2x2x228=2x2x7 Contestant Number Two. What are your prime factors? Sounds good to me, 28. Sounds good to me, too. 2x2x2x3 Click here to see how to factor 28 Go On

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My prime factors are 2x2x11 32=2x2x2x2x244=2x2x11 Contestant Number Three. What are your prime factors? 2x2x11. Wow. 11. Now, thats a big prime number. Yeah, you could say that. 28=2x2x7 2x2x2x3 Click here to see how to factor 44. Go On

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Click on the number you want to see factored. 4x11=44 2x2x11=44 4x8=32 2x2x2x4=32 2x2x2x2x2=32 4x7=28 2x2x7=28 Go Back

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32=2x2x2x2x2 GCF=8 44=2x2x1128=2x2x7 2x2x2x3 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

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Our common factors are 2x2, which is 4. Our greatest Common Factor is 4. 32=2x2x2x2x244=2x2x11 Contestant Number Two. What is our Greatest Common Factor? 28=2x2x7 GCF=4 2x2x2x3 GCF=4 Go On

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Our common factors are 2x2, which is 4. 32=2x2x2x2x244=2x2x11 GCF=4 Contestant Number Three. What factors do we have in common? 28=2x2x7 2x2x2x3 GCF=4 Go On

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32=2x2x2x2x2 GCF=8 44=2x2x1128=2x2x7 2x2x2x3 GCF = 8 Well, 24, who did you choose with the Greatest Common Factor? Yes, #1. Ive 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

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Meet Our Next Lucky Number This is 48. Hes a number who is looking for a lucky lady who shares a Greatest Common Factor. Welcome, 48! Thanks, #1. Im very happy to be here. I cant wait to meet the ladies.

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Go On His Prime Factors are: 48, what are your prime factors? Well, #1, Im 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

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Meet the Numbers Contestant Number One is 36. Contestant Number Three is 49. Contestant Number Two is 40. Go On

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All right, ladies. Say hello to 48. Hi, 48. Im 36. Its very nice to meet you. Likewise, 36. Its nice to meet you, too. Well, hello, 48. Im 40. I hope that we have a lot in common. Hey, 48. Im very close to you on the number line. Im 49. Hi, 49. Looks like were neighbors. Me too, 40. Id like to have a lot in common with you.

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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 see how to factor 36.

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Go On My prime factors are 2x2x2x5 40, what are your prime factors? 2x2x2x2x3 2x2x3x3 Click here to see how to factor 40. 2x2x2x5

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My prime factors are 7x7. 49, what are your prime factors? 2x2x2x2x3 2x2x3x3 Click here to see how to factor 49. 7x72x2x2x5 Go On

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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.

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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

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Go On Thats pretty great, 48. 40, our common factors are 2x2x2. That means our Greatest Common Factor is 8. 2x2x2x2x3 GCF=8 2x2x3x3 7x72x2x2x5 GCF=8

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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 2x2x3x3 7x7 GCF=1 2x2x2x5 Did someone say that her Greatest Common Factor is 1? Oh, 49! You and I are meant to be together!

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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. Lets go. Hey! Whered everyone go? Dont 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 cant be me! 40 isnt bad! In fact, they say 40 is the new 20….. End Do I at least get some parting gifts?

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