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Multiples and Factors Lesson 4.1

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Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2, 3, 4, 5, 6, etc.

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Example: List the multiples of 4: 4 x 1 = 4 4 x 2 = 8 4 x 3 = 12 4 x 4 = 16 4 x 5 = 20 4 x 6 = 24 Counting Numbers So, the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, etc.

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What are the first five multiples of 13? 13 x 1 =13 13 x 2 = x 3 = x 4 = x 5 = 65 13, 26, 39, 52, 65

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Find the Missing Multiples 6, 12, 18, ____, ____ ___, 6, 9, 12, ____, ____, 21 ___, 24, 36, 48, 60, ____

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Factors Factors are the numbers you multiply together to get a product. For example, the product 24 has several factors. 24 = 1 x = 2 x = 3 x 8 24 = 4 x 6 SO, the factors are 1, 2, 3, 4, 6, 8, 12, 24

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Finding Factors Start with 1 x the number. Try 2, 3, 4, etc. When you repeat your factors, cross out the repeat - youre done at this point. If you get doubles (such as 4 x 4), then youre done. Repeats or doubles let you know youre done.

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What are the factors of 16? 1 x 16 2 x 8 3 x ?? 3 is not a factor, so cross it out 4 x 4 doubles = done The factors of 16 are 1,2,4,8,16

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What are the factors of 18? 1 x 18 2 x 9 3 x 6 4 x ?? 5 x ?? 6 x 3 Repeat! Cross it out! Were done! The factors are 1,2,3,6,9,18

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What are the factors of 7? 1 x 7 2 x ?? 3 x ?? 4 x ?? 5 x ?? 6 x ?? 7 x 1 This works, but it is a repeat. We are done. The only factors of 7 are 1,7

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Prime and Composite Numbers Prime numbers are numbers that only have two factors: one, and the number itself. EXAMPLES: 3, 5, 7, 11, 31 Composite numbers have more than two factors. EXAMPLES: 6, 18, 30, 100

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Homework Time

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