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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 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
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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 - 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.
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What are the factors of 16?1 x 162x83 x ?? 3 is not a factor, so cross it out4x4 doubles = doneThe factors of 16 are1,2,4,8,16
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What are the factors of 18?1 x 18 The factors are2 x 9 1,2,3,6,9,183 x 64 x ??5 x ??6 x 3 Repeat! Cross it out! We’re done!
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What are the factors of 7?1x7 The only factors2 x ?? of 7 are 1,73 x ??4 x ??5 x ??6 x ??7 x 1 This works, but it is a repeat. We are done.
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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:• 4x1=4 So, the multiples of 4 are 4, 8, 12, 16, 20, 24,• 4x2=8 28, etc.• 4 x 3 = 12• 4 x 4 = 16• 4 x 5 = 20• 4 x 6 = 24 Counting Numbers
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What are the first five multiples of 13?13 x 1 =1313 x 2 = 2613 x 3 = 39 13, 26, 39, 52, 6513 x 4 = 5213 x 5 = 65
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Prime and Composite NumbersPrime numbers are Composite numbersnumbers that only have have more than twotwo factors: one, and the factors.number itself. EXAMPLES:EXAMPLES: 6, 18, 30, 1003, 5, 7, 11, 31
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