Multiples and Factors
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  • 1. Multiples and Factors
  • 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 2:
    2x 0 = 0
    2x 1 = 2
    2x 2 =4
    2x 3= 6
    2x 4= 8
    2x 5 = 10
    2 x 6= 12
    2 x 7 = 14
    2 x 8 = 16
    2x 9 = 18
    2x 10 = 20
    2 x 11 = 22
    2 x 12 = 24
    So, the multiples of 4 are 2,4,6,8,10 etc.
    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
    Repeat! Cross it out! We’re done!
    4 x ??
    5 x ??
    6 x 3
  • 10. What are the factors of 7?
    The only factors of 7 are 1,7
    1 x 7
    2 x ??
    3 x ??
    4 x ??
    This works, but it is a repeat. We are done.
    5 x ??
    6 x ??
    7 x 1
  • 11. The End!