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9/9/10 Prime Factorization. A prime number is a whole number greater than 1 that has exactly two factors, 1 and itself. A composite number is a whole number that has more than two factors. Entry Task

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slide1

9/9/10 Prime Factorization

A prime number is a whole number greater than 1 that has exactly two factors, 1 and itself.

A composite number is a whole number that has more than two factors.

Entry Task

Copy the above vocabulary words into your notes. Then list at least 5 examples of prime numbers and at least 5 examples of composite numbers.

Prime Composite

Today’s Plan:

-Warm up & Notebook Check

-Prime Factorization

-Practice

Learning Target:

-I will draw factor trees to find the prime factorization of composite numbers.

slide2

9/9/10 Prime Factorization

A prime number is a whole number greater than 1 that has exactly two factors, 1 and itself.

A composite number is a whole number that has more than two factors.

The number 1 has exactly one factor and is neither prime nor composite.

A composite number can be written as the product of its prime factors. This is called the prime factorization of the number.

Today’s Plan:

-Warm up & Notebook Check

-Prime Factorization

-Practice

Learning Target:

-I will draw factor trees to find the prime factorization of composite numbers.

slide3

9/9/10 Prime Factorization

  • Copy this number chart and follow steps 1-4.
  • Circle the number 2. Then cross out all multiples of 2.
  • Circle the number 3. Then cross out all multiples of 3.

3. Circle the number 5. Then cross out all multiples of 5.

4. Circle any number remaining if its only factors are itself and 1, cross out the others.

Today’s Plan:

-Warm up & Notebook Check

-Prime Factorization

-Practice

Learning Target:

-I will draw factor trees to find the prime factorization of composite numbers.

slide4

9/9/10 Prime Factorization

You should have circled the PRIME NUMBERS!

A prime number is a whole number greater than 1 that has exactly two factors, 1 and itself.

Three is a prime number because its only factors are 1 and 3.

Today’s Plan:

-Warm up & Notebook Check

-Prime Factorization

-Practice

Learning Target:

-I will draw factor trees to find the prime factorization of composite numbers.

slide5

9/9/10 Prime Factorization

Notebook Check

Take out a highlighter, colored pen, or colored pencil.

Name, date, class, teacher

Work on graph paper in pencil

Headings

Table of Contents

Multiplication symbols

Exponent notes

Exponent example

PEMDAS notes

Order of operations example

Prime number list

Today’s Plan:

-Warm up & Notebook Check

-Prime Factorization

-Practice

Learning Target:

-I will draw factor trees to find the prime factorization of composite numbers.

slide6

9/9/10 Prime Factorization

Write the prime factorization of the number.

A. 24

Write 24 as the product of

two factors.

24

8 · 3

Continue factoring until all

factors are prime.

4 · 2 · 3

2 · 2 · 2 · 3

The prime factorization of 24 is 2 · 2 · 2 · 3. Using

exponents, you can write this as 23 · 3.

(Write numbers from least to greatest!)

Today’s Plan:

-Warm up & Notebook Check

-Prime Factorization

-Practice

Learning Target:

-I will draw factor trees to find the prime factorization of composite numbers.

slide7

9/9/10 Prime Factorization

Write the prime factorization of the number.

B. 150

150

Write 150 as the product

of two factors.

30 · 5

Continue factoring until

all factors are prime.

10 · 3 · 5

2 · 5 · 3 · 5

The prime factorization of 150 is 2 · 3 · 5 · 5, or

2 · 3 · 52.

Today’s Plan:

-Warm up & Notebook Check

-Prime Factorization

-Practice

Learning Target:

-I will draw factor trees to find the prime factorization of composite numbers.

slide8

9/9/10 Prime Factorization

Write the prime factorization of the number.

A. 36

Write 36 as the product of

two factors.

36

18 · 2

Continue factoring until all

factors are prime.

9 · 2 · 2

3 · 3 · 2 · 2

The prime factorization of 36 is 2 · 2 · 3 · 3. Using

exponents, you can write this as 22 · 32.

Today’s Plan:

-Warm up & Notebook Check

-Prime Factorization

-Practice

Learning Target:

-I will draw factor trees to find the prime factorization of composite numbers.

slide9

9/9/10 Prime Factorization

Write the prime factorization of the number.

B. 90

90

Write 90 as the product

of two factors.

45 · 2

Continue factoring until

all factors are prime.

9 · 5 · 2

3 · 3 · 5 · 2

The prime factorization of 90 is 2 · 3 · 3 · 5, or

2 · 32 · 5.

Today’s Plan:

-Warm up & Notebook Check

-Prime Factorization

-Practice

Learning Target:

-I will draw factor trees to find the prime factorization of composite numbers.

slide10

9/9/10

Assignment #4: Prime Factorization

Prime Factorization: pg 80 #5-20

OR

Challenge pg 80 #25-32, 41-44, 47-50

When you finish try to solve #55

Today’s Plan:

-Warm up & Notebook Check

-Prime Factorization

-Practice

Learning Target:

-I will draw factor trees to find the prime factorization of composite numbers.

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