Chapter 4 Number Theory

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Chapter 4 Number Theory
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Terms

• Factors
• Divides, divisible, divisibility
• Multiple

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Example
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Divisibility
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Divisibility

• Determining divisibility by 2
• Determining divisibility by 3
• Determining divisibility by 4
• Determining divisibility by 6

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Divisibility

• Determining divisibility by 5
• Determining divisibility by 9
• Determining divisibility by 10

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Even and odd numbers

• What is an even number?
• What are the properties of an even number?
• How do you recognize an even number?

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Even and odd numbers

• Representing an even number generally.

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Even and odd numbers

• What is an odd number?
• What are its properties?
• How do you recognize an odd number?

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Even and odd numbers

• How can an odd number be represented generally?

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Even and odd numbers

• What kind of number do you get when you add two
  even numbers?
• What kind of number do you get when you add two
  odd numbers?
• What kind of number do you get when you add an
  even number and an odd number?

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Even and odd numbers

• What kind of a number do you get when you
  multiply two even numbers?
• What kind of a number do you get when you
  multiply two odd numbers?

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Even and odd numbers

• What can you say about two numbers if their sum
  is even and their product is odd?
• Why?

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Even and odd numbers

• The sum of three numbers is an even number. Does
  the product have to be an even number or an odd
  number or can it be either one?

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Prime Numbers

• The Sieve of Eratosthenes
• finding the prime numbers
• use the worksheet to find all the prime numbers
  from 1 to 100