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Chapter 1.1 Factors & Multiples.

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Presentation on theme: "Chapter 1.1 Factors & Multiples."— Presentation transcript:

1 Chapter 1.1 Factors & Multiples

2 Vocabulary Common factor: a number that is a factor of two or more numbers Greatest Common Factor (GCF): the largest of the common factors of two or more numbers Least Common Multiple (LCM): the smallest nonzero number that is a multiple of two or more whole numbers

3 Real-World Link Bryan is making balloon arrangements. He has 8 blue and 12 green balloons. What is the greatest amount of arrangements he can make if he wants them to be identical?

4 Find the Greatest Common Factor
You can use common factors or prime factors to find the GCF Remember that a prime number is a whole number that has exactly two factors, 1 and the number itself

5 Example 1. There are one slice servings of three types of cake on a table. Each row has an equal number of servings and only one type of cake. What is the greatest number of servings in a row?

6 Got it? Lana earned $49 on Friday, $42 on Saturday, and $21 on Sunday selling bracelets. She sold each bracelet for the same amount. What is the most she could have charged for each bracelet?

7 Example 2. Find the GCF of 12 and 18.

8 Got it? Find the greatest common factor of each set of numbers. 12, 66 18, 30 32, 48

9 Find the Least Common Multiple
You can find the least common multiple (LCM) by using a number line, making a list, or by using prime factors. A multiple of a number is the product of the number and any integer (whole number).

10 Examples. Find the LCM of 2 and 3.
Method 1. Use a number line Method 2. Use an organized list Find the LCM of 14 and 21 using prime factorization.

11 Got it? Find the least common multiple of each set of numbers. 2, 6 4, 5, 10 3, 5, 7

12 Example 5. Ernesto has painting class every 2 weeks. Kamala has a pottery class every 5 weeks. Ernesto and Kamala met at the art building for class this week. How many weeks will it be until they see each other again?

13 Glencoe Florida Math Course 1 Volume 1 Page 11 #1 - 9
Assignment Glencoe Florida Math Course 1 Volume 1 Page 11 #1 - 9


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