Prime Time

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Prime Time

• Unit 1

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Table Of Contents

• Investigation 1 Factor Game
• Investigation 2 Product Game
• Investigation 3 Factor Pairs
• Investigation 4 Common Factors/ Multiples
• Investigation 5 - Factorizations

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Factor game rules

• Rules found on page 7
• Play with a partner Factor Game
• What is a good first move?
• Is it better to go 1st or 2nd?

4
Product Game

• Rules found on page 18
• Play with a partner Product Game
• Why do the products on the game board skip
  numbers?

5
Create your own!

• Think of relationship between factors and
  products.
• When is a game board complete?
• Play your game with a partner.

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Factor Pairs

• Factors of a number come in pairs. These factor
  pairs can be represented using rectangular arrays.

Example 28 14 x 2
14
2
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Practice!

• Choose a number between 10 and 30. Draw all the
  rectangular arrays for that number.
• Numbers that can make a square are called square
  numbers. (1 1 x 1 4 2 x 2 9 3 x 3)
  They also have an odd number of factors because
  one factor is repeated among the pairs.

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Common Factors and Multiples

• Common Factors -- a factor that two or more
  number share

15 1 x 15 3 x 5
12 1 x 12 2 x 6 3 x 4
Numbers highlighted in yellow are common factors
of 12 and 15.
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Continued

• Common Multiples a multiple that two more
  numbers share
• 4 4, 8, 12, 16, 20, 24
• 6 6, 12, 18, 24
• Numbers highlighted in yellow are common
  multiples.

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GCF and LCM

• Greatest Common Factor (GCF) the largest shared
  factor of two numbers
• Least Common Multiple (LCM) the smallest shared
  multiple of two numbers. (All other common
  multiples can be found using the LCM.)

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Factorizations

• Prime factorization - The longest factor string
  for a number, composed entirely of prime numbers

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