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Factors, Primes & Composite Numbers. Learning Objective: Today factor numbers and determine if they are prime or composite.

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Presentation on theme: "Factors, Primes & Composite Numbers. Learning Objective: Today factor numbers and determine if they are prime or composite."— Presentation transcript:

1 Factors, Primes & Composite Numbers

2 Learning Objective: Today factor numbers and determine if they are prime or composite.

3 What will we learn today? Today we will factor numbers and determine if they are prime or composite.

4 Partner Share What is 3 x 7? What is the answer to a multiplication problem called?

5 Definition Product – An answer to a multiplication problem. 7 x 8 = 56 Product

6 Definition Factor – a number that is multiplied by another to give a product. 7 x 8 = 56 Factors

7 What are the factors? (What two numbers make that product?) 6 x 7 = 42 7 x 9 = 63 8 x 6 = 48 4 x 9 = 36 6 & 7 7 & 9 8 & 6 4 & 9

8 Definition Prime Number – a number that has only two factors, itself and is prime because the only numbers that will divide into it evenly are 1 and 7.

9 Examples of Prime Numbers 2, 3, 5, 7, 11, 13, 17, 19 Special Note: One is not a prime number.

10 Definition Composite number – a that has more than two factors. 8 The factors of 8 are 1, 2, 4, 8 because 1x8=8 and 2x4=8

11 Examples of Composite Numbers 4, 6, 8, 9, 10, 12, 14, 15 Special Note: Every whole number from 2 on is either composite or prime.

12 Our Lonely 1 Special Note: One is not a prime nor a composite number. It is not prime because it does not have exactly two different factors. It is not composite because it does not have more than 2 factors.

13 Why is it important to understand?

14 How to use a factor tree Step 1 – Write down two factors. (What two numbers make 48?) 48 68

15 How to use a factor tree Step 2 – Find factors of these numbers until all factors are prime. (what makes a 6? What makes an 8?)

16 How to use a factor tree Step 2 – Find factors of these numbers until all factors are prime numbers

17 How to use a Factor Tree Step 3 – Write the numbers from least to greatest. Determine if the number is prime or composite Factors of 48 are: 1,2,3,4,6,8,48 Hint: only write each digit once.

18 Factor this number 6 Factors of 6 are: Hint: only write each digit once ,2,4,6 Step 1 – Write down two factors. Step 2 – Find factors of these numbers until all factors are prime Step 3 – Write the numbers from least to greatest. Determine if the number is prime or composite.

19 Factor this number Factors of 8 are: Hint: only write each digit once ,2,4,8 Step 1 – Write down two factors. Step 2 – Find factors of these numbers until all factors are prime Step 3 – Write the numbers from least to greatest. Determine if the number is prime or composite.

20 Factor this number 10 Factors of 6 are: Hint: only write each digit once ,2,5,10

21 Factor this number Factors of 8 are: Hint: only write each digit once ,2,4,5,20

22 Factor this number 7 Factors of 7 are: 1,7 Hint: only write each digit once.

23 Factor this number 13 Factors of 13 are: 1,13 Hint: only write each digit once.

24 Now you try! Factor this number 25 Factors of ___ are: _____________ Hint: only write each digit once. Don’t forget 1 and itself! What did we learn to factor today? Why is it important?

25 Now you try! Factor this number 24 Factors of ___ are: _____________ Hint: only write each digit once. Don’t forget 1 and itself!

26 Now you try! Factor this number 17 Factors of ___ are: _____________ Hint: only write each digit once. Don’t forget 1 and itself!

27 Factor this number Factors of __________ are: Hint: only write each digit once. Don’t forget 1 and itself! Print this slide for use in whiteboards Step 1 – Write down two factors. Step 2 – Find factors of these numbers until all factors are prime Step 3 – Write the numbers from least to greatest. Determine if the number is prime or composite.


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