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**Factors/Multiples Instructional Focus**

November 15 – 19th

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**MONDAY, November 15th Multiples**

Products that result from multiplying the number by each of the whole numbers. You can use skip counting to find multiples. Multiples of 4: 0, 4, 8, 12, 16, 20…

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**Least Common Multiple 6: 6, 12, 18, 24, 30, 36… 8: 8, 16, 24, 32, 40…**

The smallest common multiple of two or more numbers Least Common Multiple of 6 and 8: 6: 6, 12, 18, 24, 30, 36… 8: 8, 16, 24, 32, 40…

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Factors: Numbers we multiply to get a certain number. Think, what numbers can we multiply to get 12? 1 x 12 2 x 6 3 x 4 So, 1, 2, 3, 4, 6, 12 – are FACTORS of 12.

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**Greatest Common Factor:**

The largest common factor of two or more numbers: To find factors, build T-charts: Common factors are: 1, 2, 3, 6 GREATEST COMMON FACTOR is 6

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**For Factors – build a T-chart; For Multiples just skip count! **

Rhyme: For Factors – build a T-chart; For Multiples just skip count! (Say it 6 times. Learn it at home)

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**What is the Rhyme? Say it 6 times!**

TUESDAY, November 16th What is the Rhyme? Say it 6 times! What is the Greatest Common Factor of 4 and 18? (show your work on a wipe board) 1 2 3 4 Answer: b

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**What is the GCF of 48 and 128? (show your work on a wipe board)**

16 Answer: d

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**What is the Least Common Multiple of 4 and 18**

What is the Least Common Multiple of 4 and 18? (show your work on a wipe board) 72 192 36 144 Answer: c

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What is the GCF of 21 and 49? (show your work on a wipe board) 1 3 7 21 Answer: c

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WEDNESDAY, November 17th What is the Rhyme? Stand up and say it 6 times as a class! What is the least Common Multiple of 3 and 13? (show your work on a wipe board) 13 26 39 52 Answer: c

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**To win a game show, Theodore must find an ODD prime factor of 56**

To win a game show, Theodore must find an ODD prime factor of 56. What are the prime factors of 56? Help Theodore. 56 1 x 56 2 x 28 4 x 14 7 x 8 Prime factors are: 2 and 7 ODD prime factor is 7

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**Which shows an odd number that is a multiple of both 3 and 5?**

210 215 225 253 Answer: c

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**THURSDAY, November 18th What is the Rhyme**

THURSDAY, November 18th What is the Rhyme? Stand up and say it 6 times as a class! When solving word problems, THINK: If your answer will be larger than the given numbers you are looking for multiples. If the answer is smaller that the given numbers you use factors.

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EXAMPLE: Todd and Amy volunteer at a local nursing home. Todd volunteers every 5 days and Amy volunteers every 4 days. If Todd and Amy both volunteer today, in how many days will they volunteer together again? The solution will be larger than 5 and 4, so we use Multiples: 5: 5, 10, 15, 20, 25… 4: 4, 8, 12, 16, 20, 24… Todd and Amy will volunteer together in 20 days.

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EXAMPLE: The math class is making fruit baskets. The class has collected 24 oranges and 36 apples. The teacher wants the same number of oranges in every basket. The teachers wants the same amount of apples in each basket. What is the greatest number of baskets the class can make? (THINK: You are splitting fruit! Splitting means dividing into groups. Answer will be SMALLER Numbers (splitting)– Factors)

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You try: To bring in customers, Harry’s Hamburger Heaven is giving away prizes. Every 4th customer gets free French fries. Every 6th customer gets a free burger. Which customer will win both French fries and burger? (Multiples or Factors) The 4th customer The 6th customer The 12th customer The 24th customer Answer: c

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**Ms. Jones decorated her Christmas tree with red and green lights**

Ms. Jones decorated her Christmas tree with red and green lights. When she plugged them in, she found that the red lights blinked every 4 seconds, and the green lights blinked every 5 seconds. How many seconds will go by before both colors blink at the same time? 20 seconds 8 seconds 12 seconds 24 seconds Answer: a

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**Alison is making treat bags to give our at her birthday party**

Alison is making treat bags to give our at her birthday party. She has 15 lollipops and 25 pieces of licorice. She will use all of the lollipops and licorice and she will split the lollipops and pieces of licorice equally. What is the greatest number of treat bags Alison can make? 1 3 5 9 Answer: c

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Least Common Multiples and Greatest Common Factors

Least Common Multiples and Greatest Common Factors

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