Prime Factorization and Exponents
Presentation
•
Mathematics
•
6th - 8th Grade
•
Hard
Joseph Anderson
FREE Resource
6 Slides • 17 Questions
1
Exponents, Prime Factorization, GCF, and LCM Review
2
Exponent
Base
Exponents
3
Drag and Drop
4
Drag and Drop
5
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
6
Multiple Choice
73=
7 x 3 = 21
7 + 7 + 7 = 21
7 x 7 x 7 = 343
7 + 3 = 10
7
Multiple Choice
Evaluate: 43 =
4 x 3 = 12
4 x 4 x 4 = 64
4 + 4 + 4 = 12
43
8
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
9
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
10
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
11
Labelling
What are the two missing factors?
5
2
6
3
12
Multiple Choice
What is the prime factorization of 50?
13
Multiple Choice
What is the prime factorization of 24?
14
Multiple Choice
What is the prime factorization of 60?
15
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.
16
Fill in the Blanks
17
Dropdown
24: 1, 2, 3, 4, 6, 8, 12, 24
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
GCF =
18
Fill in the Blanks
19
LCM is the smallest number that both can multiply evenly into.
(Reminder, multiple = more)
Least Common Multiple
20
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...
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...
21
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
3
8
24
48
22
Fill in the Blanks
23
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
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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