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: 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.
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
Find the Missing Multiples 6, 12, 18, ____, ____ ___, 6, 9, 12, ____, ____, 21 ___, 24, 36, 48, 60, ____ 24 30 3 15 18 12 72
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
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.
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
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! We’re done! The factors are  1,2,3,6,9,18
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
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
Homework Time

Factor ppt.

  • 1.
  • 2.
    Multiples A multipleis formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2, 3, 4, 5, 6, etc.
  • 3.
    Example: List themultiples 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.
  • 4.
    What are thefirst 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 MissingMultiples 6, 12, 18, ____, ____ ___, 6, 9, 12, ____, ____, 21 ___, 24, 36, 48, 60, ____ 24 30 3 15 18 12 72
  • 6.
    Factors Factors arethe 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 Startwith 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 thefactors 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 thefactors of 18? 1 x 18 2 x 9 3 x 6 4 x ?? 5 x ?? 6 x 3 Repeat! Cross it out! We’re done! The factors are 1,2,3,6,9,18
  • 10.
    What are thefactors 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
  • 11.
    Prime and CompositeNumbers 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
  • 12.