Chapter 4 Number Theory 4 1 Divisibility Terms

Chapter 4 Number Theory

4. 1 Divisibility

Terms • Factors • Divides, divisible, divisibility • Multiple

Example

Divisibility

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

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

Even and odd numbers • What is an even number? • What are the properties of an even number? • How do you recognize an even number?

Even and odd numbers • Representing an even number generally.

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

Even and odd numbers • How can an odd number be represented generally?

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?

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?

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

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?

4. 2

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