Factorizations

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Chapter 3.2

• Factorizations

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• A number c is a factor of the number a if a is
  divisible by c.
• A factorization of a number expresses that number
  as a product of natural numbers.

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• Find all the factors of 24
• List the factor pairs of 24
• 2. Write the numbers is order

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• Find all the factors of 105

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Prime Not Prime

• 2

6
Prime Not Prime

• 2
• 3

7
Prime Not Prime

• 2
• 3

4
8
Prime Not Prime

• 2
• 3
• 5

4
9
Prime Not Prime

• 2
• 3
• 5

4 6
10
Prime Not Prime

• 2
• 3
• 5
• 7

4 6
11
Prime Not Prime

• 2
• 3
• 5
• 7

4 6 8
12
Prime Not Prime

• 2
• 3
• 5
• 7

4 6 8 9
13
Prime Not Prime

• 2
• 3
• 5
• 7

4 6 8 9 10
14
Prime Not Prime

• 2
• 3
• 5
• 7
• 11

4 6 8 9 10
15
Prime Not Prime

• 2
• 3
• 5
• 7
• 11

4 6 8 9 10 12
16
Prime Not Prime

• 2
• 3
• 5
• 7
• 11
• 13

4 6 8 9 10 12
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Prime Not Prime

• 2
• 3
• 5
• 7
• 11
• 13

4 6 8 9 10 12 14
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Prime Not Prime

• 2
• 3
• 5
• 7
• 11
• 13

4 6 8 9 10 12 14 15
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Prime Not Prime

• 2
• 3
• 5
• 7
• 11
• 13

4 6 8 9 10 12 14 15 16
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Prime Not Prime

• 2
• 3
• 5
• 7
• 11
• 13
• 17

4 6 8 9 10 12 14 15 16
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Prime Not Prime

• 2
• 3
• 5
• 7
• 11
• 13
• 17

4 6 8 9 10 12 14 15 16 18
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Prime Not Prime

• 2
• 3
• 5
• 7
• 11
• 13
• 17
• 19

4 6 8 9 10 12 14 15 16 18
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• A natural number that has exactly two different
  factors, itself and 1, is called a prime number.

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• Tell whether 2, 3,4, 5,7, 9, 10, 11, 27, and 63
  are prime.

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• A natural number, other than 1, that is not prime
  is called a composite number.

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• A list of primes
• 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43,
  47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101,
  103, 107, 109, 113, 127, 131, 137, 139, 149, 151,
  157

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• To express a composite number as a product of
  primes is to find a prime factorization of the
  number

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• Find the prime factorization of 39

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Factor Trees
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• Find the prime factorization of 76

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• Find the prime factorization of 72

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• Find the prime factorization of 189

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• Find the prime factorization of 65

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• 3.2 page 171 Numbers 1-77