Prime Factorization and Exponents

Presentation

•

Mathematics

•

6th - 8th Grade

•

Hard

Joseph Anderson

FREE Resource

6 Slides • 17 Questions

Exponents, Prime Factorization, GCF, and LCM Review

Exponent

Base

Exponents

Drag and Drop

7^{6 -}In this expression, the 7 is the

Drag these tiles and drop them in the correct blank above

base

exponent

addend

product

Drag and Drop

7^{6 -}In this expression, the 6 is the

Drag these tiles and drop them in the correct blank above

exponent

addend

product

base

How to evaluate exponents

When evaluating an exponent, rewrite it as a multiplication problem, and then solve.

Example: 5³ = 5 x 5 x 5 = 125

Multiple Choice

$7^3=$

7 x 3 = 21

7 + 7 + 7 = 21

7 x 7 x 7 = 343

7 + 3 = 10

Multiple Choice

Evaluate: 4³ =

4 x 3 = 12

4 x 4 x 4 = 64

4 + 4 + 4 = 12

Multiple Choice

Evaluate 9⁴

9 x 4 = 36

90 x 90 = 8100

9 x 9 x 9 =729

9 x 9 x 9 x 9 = 6561

Multiple Choice

True or false:

The difference between an expression and an equation

is that an expression doesn't have an equal sign.

True

False

Prime Factorization

Prime factorization is decomposing (breaking down) a number to a product of just prime numbers.

Example: 36 = 2 x 2 x 3 x 3 = 2² x 3²

Labeling

What are the two missing factors?

Drag labels to their correct position on the image

Multiple Choice

What is the prime factorization of 50?

2 x 5 x 5

10 x 5

2 x 25

2 x 10 x 5

Multiple Choice

What is the prime factorization of 24?

2 x 2 x 2 x 4

2 x 2 x 3 x 3

2 x 2 x 2 x 3

2 x 2 x 6

Multiple Choice

What is the prime factorization of 60?

2 x 2 x 2 x 5

2 x 3 x 3 x 5

2 x 2 x 2 x 3

2 x 2 x 3 x 5

Greatest Common Factor

GCF

The biggest integer that evenly divides into two or more numbers.
(Remember, Factor = Fewer)
Example:
Factors of 8: 1, 2, 4, 8
Factors of 12: 1, 2, 3, 4, 6, 12

The GCF of 8 and 12 is 4.

Fill in the Blanks

Based on this information, what is the GCF of 12 and 20?

12: 1, 2, 3, 4, 6, 12

20: 1, 2, 4, 5, 10, 20

Dropdown

What is the GCF of 24 and 36?

24: 1, 2, 3, 4, 6, 8, 12, 24

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

GCF =

Fill in the Blanks

What is the GCF and 25 and 10?

LCM is the smallest number that both can multiply evenly into.

(Reminder, multiple = more)

Least Common Multiple

Match

Match the following

Multiples of 3

Multiples of 5

Multiples of 6

Multiples of 2

Multiples of 9

3, 6, 9, 12, 15...

5, 10, 15, 20, 25...

6, 12, 18, 24, 30...

2, 4, 6, 8, 10, 12...

9, 18, 27, 36, 45...

Multiple Choice

What is the Least Common Multiple (LCM) of 3 and 8?

3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48

8: 8, 16, 24, 32, 40, 48

Fill in the Blanks

What is the LCM of 9 and 12?

Match

Match the following

Multiples mean

Factors mean

LCM stands for...

GCF stands for...

more!

(Example: 3: 3, 6, 9, 12, 15, 18)

fewer!

(Example: 12: 1, 2, 3, 4, 6, 12)

Least Common Multiple

Greatest Common Factor

Exponents, Prime Factorization, GCF, and LCM Review

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