1 1/02/09 Prime Factorization #38LT: I will learn to draw factor trees.

Today’s Plan:-Warm-up-Prime Factorization-Exponents

Learning Target:

-I will learn to draw factor trees.

Warm Up

Copy this number chart and follow steps 1-4.

1. Circle the number 2. Then cross out all multiples of 2.

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.

1 1/02/09 Prime Factorization #38LT: I will learn to draw factor trees.

Today’s Plan:-Warm-up-Prime Factorization-Exponents

Learning Target:

-I will learn to draw factor trees.

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.

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.

1 1/02/09 Prime Factorization #38

Today’s Plan:-Warm-up-Prime Factorization-Factor Trees

Learning Target:

-I will learn to draw factor trees.

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.

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

1 1/02/09 Prime Factorization #38

Today’s Plan:-Warm-up-Prime Factorization-Factor Trees

Learning Target:

-I will learn to draw factor trees.

Write the prime factorization of the number.

A. 2424

8 · 3

4 · 2 · 3

2 · 2 · 2 · 3

Write 24 as the product oftwo factors.

Continue factoring until allfactors are prime.

The prime factorization of 24 is 2 · 2 · 2 · 3. Usingexponents, you can write this as 23 · 3.

1 1/02/09 Prime Factorization #38

Today’s Plan:-Warm-up-Prime Factorization-Factor Trees

Learning Target:

-I will learn to draw factor trees.

7

ExponentBase

2

34

Write in exponential form.

A. 3 • 3 • 3 • 3

d5

B. d • d • d • d • d

Read 34 as “3 to the 4th power.”Reading Math

52

D. 5 • 5

Write in exponential form.

72

D. 7 • 7

Write in exponential form.

A. 35

243

3 • 3 • 3 • 3 • 3

–243

(–3) • (–3) • (–3) • (–3) • (–3)

B. (–3)5

Always use parentheses to raise a negative number to a power.

Helpful Hint

Evaluate.

1 1/02/09 Prime Factorization #38

Today’s Plan:-Warm-up-Prime Factorization-Factor Trees

Learning Target:

-I will learn to draw factor trees.

Divisibility Rules

Write the prime factorization of the number.

B. 150150

30 · 5

10 · 3 · 5

2 · 5 · 3 · 5

Write 150 as the productof two factors.

Continue factoring until all factors are prime.

The prime factorization of 150 is 2 · 3 · 5 · 5, or2 · 3 · 52.

1 1/02/09 Prime Factorization #38

Today’s Plan:-Warm-up-Prime Factorization-Factor Trees

Learning Target:

-I will learn to draw factor trees.

Insert Lesson Title Here

Write the prime factorization of the number.

A. 3636

18 · 2

9 · 2 · 2

3 · 3 · 2 · 2

Write 36 as the product oftwo factors.

Continue factoring until allfactors are prime.

The prime factorization of 36 is 2 · 2 · 3 · 3. Usingexponents, you can write this as 22 · 32.

1 1/02/09 Prime Factorization #38

Today’s Plan:-Warm-up-Prime Factorization-Factor Trees

Learning Target:

-I will learn to draw factor trees.

Insert Lesson Title Here

Write the prime factorization of the number.

B. 9090

45 · 2

9 · 5 · 2

3 · 3 · 5 · 2

Write 90 as the productof two factors.

Continue factoring until all factors are prime.

The prime factorization of 90 is 3 · 3 · 5 · 2, or2 · 32 · 5.

1 1/02/09 Prime Factorization #38

Today’s Plan:-Warm-up-Prime Factorization-Factor Trees

Learning Target:

-I will learn to draw factor trees.