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**Factors, Primes & Composite Numbers**

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

State objective Teach the meaning it literary works Literary works refers to literature Have students repeat literature

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**What will we learn today?**

Today we will factor numbers and determine if they are prime or composite. Have students share with partners the objective then call on 3 non volunteer to share today’s objective

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**What is the answer to a multiplication problem called?**

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

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**Definition Product Product – An answer to a multiplication problem.**

7 x 8 = 56 Product

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

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**What are the factors? (What two numbers make that product?)**

6 x 7 = 42 6 & 7 7 x 9 = 63 7 & 9 8 x 6 = 48 8 & 6 4 & 9 4 x 9 = 36

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**7 Definition 7 is prime because the only numbers**

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

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**Examples of Prime Numbers**

2, 3, 5, 7, 11, 13, 17, 19 Special Note: One is not a prime number.

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**The factors of 8 are 1, 2, 4, 8 because 1x8=8 and 2x4=8**

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

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**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.

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**Our Lonely 1 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. Special Note: One is not a prime nor a composite number.

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**Why is it important to understand?**

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**How to use a factor tree Step 1 – Write down two factors.**

48 Step 1 – Write down two factors. (What two numbers make 48?) 48 6 8 48

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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?) 48 6 2 3 8 4 48 6 2 3 8 48 6 8 48

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**How to use a factor tree Step 2 – Find factors of these numbers**

until all factors are prime numbers. 48 6 2 3 8 4 48 6 2 3 8 4

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**Composite How to use a Factor Tree Factors of 48 are: 1,2,3,4,6,8,48**

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

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**Composite Factors of 6 are: Factor this number 1,2,4,6**

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. Factor this number Composite 6 2 3 Factors of 6 are: Hint: only write each digit once. 6 1,2,4,6

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**Composite Factors of 8 are: Factor this number 1,2,4,8 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. Factor this number 8 2 4 Composite 8 2 4 Factors of 8 are: Hint: only write each digit once. 8 1,2,4,8

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**Composite Factors of 6 are: Factor this number 1,2,5,10**

Hint: only write each digit once. 10 1,2,5,10

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**Composite Factors of 8 are: Factor this number 1,2,4,5,20 20**

Hint: only write each digit once. 20 1,2,4,5,20

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**Prime Factors of 7 are: 1,7 Factor this number**

Hint: only write each digit once.

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**Prime Factors of 13 are: 1,13 Factor this number**

Hint: only write each digit once. 13

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**Now you try! Factor this number**

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

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**Now you try! Factor this number**

Prime or composite? Factors of ___ are: _____________ Hint: only write each digit once. Don’t forget 1 and itself! 24

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**Now you try! Factor this number**

Prime or composite? Factors of ___ are: _____________ Hint: only write each digit once. Don’t forget 1 and itself! 17

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**Factor this number Prime or composite? Factors of __________ are:**

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. Prime or composite? Factors of __________ are: Hint: only write each digit once. Don’t forget 1 and itself! Factor this number Print this slide for use in whiteboards

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Prime and Composite Factors: – When 2 or more numbers are multiplied, each number is called a factor of the product Ex) 1 x 5 = 52 x 5 = 10 1 x 10 = 10.

Prime and Composite Factors: – When 2 or more numbers are multiplied, each number is called a factor of the product Ex) 1 x 5 = 52 x 5 = 10 1 x 10 = 10.

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