1. 7 is a prime number Factors of 7: 1, 7 Patterns and Algebra 32 Multiplication and Division 28

2. 6 is not a prime number Factors of 6: 1, 6, 2, 3 6 is a composite number

3. 2 is prime Multiples of 2 are not prime Multiples of 2 are composite 3 is prime Multiples of 3 are not prime Multiples of 3 are composite

4. Factors of 12: 1, 12, 2, 6, 3, 4 Prime Factors of 12: 1, 12, 2, 6, 3, 4 12 = 2 x 2 x 3 12 is the product of its prime factors. A composite number is the product of its prime factors.

5. Factors of 15: 1, 15, 3, 5 Prime Factors of 15: 1, 15, 3, 5 15 = 5 x 3 15 x 14 = Factors of 14: 1, 14, 2, 7 Prime Factors of 14: 1, 14, 2, 7 14 = 2 x 7

6. 15 = 5 x 3 14 = 2 x 7 15 x 14 = 5 x 3 x 2 x 7 = 10 x 21 = 210

7. Factors of 6: 1, 6, 2, 3 Prime Factors of 6: 1, 6, 2, 3 6 = 2 x 3 114 ÷ 6 =

8. 6 = 2 x 3 114 ÷ 6 = 114 ÷ 2 ÷ 3 = 57 ÷ 3 = 30 ÷ 3 + 27 ÷ 3 = 10 + 9 = 19

9. GUIDED INVESTIGATION What are the factors of …? Is … a prime or a composite number? How can we use a hundreds chart as a sieve to find the prime numbers less than 100? How can we record composite numbers as the product of prime factors? How can we use the prime factors of composite numbers to simplify calculations? INDEPENDENT INVESTIGATION The factors of … are …... is prime because...... is composite because... I used a hundreds chart as a sieve to find the prime numbers to 100 by … The prime factors of... are...... is the product of its prime factors... I used the prime factors of... to simplify the calculation by … What is a prime number? What is a composite number? How could you find the prime factors of a composite number? Can every composite number be recorded by multiplying its prime factors? Why? How are composite numbers 'composed' of prime numbers? Why are multiples of prime numbers, composite numbers? How can we use the prime factors of composite numbers to simplify calculations?