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Multiples and Factors

Multiples and Factors. Lesson 4.1. 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. Example: List the multiples of 4:. So, the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, etc. 4 x 1 = 4 4 x 2 = 8

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Multiples and Factors

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  1. Multiples and Factors Lesson 4.1

  2. 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.

  3. Example: List the multiples of 4: So, the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, etc. • 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

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

  5. Find the Missing Multiples 24 30 • 6, 12, 18, ____, ____ • ___, 6, 9, 12, ____, ____, 21 • ___, 24, 36, 48, 60, ____ 15 18 3 72 12

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

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

  8. 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

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

  10. What are the factors of 7? The only factors of 7 are 1,7 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.

  11. 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 Prime and Composite Numbers

  12. Homework Time

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