
Prime Factors
Presentation
•
Mathematics
•
5th - 8th Grade
•
Hard
Joseph Anderson
FREE Resource
3 Slides • 17 Questions
1
Prime Factorization
2
How to find the prime factorization of any number
Step 1: Find two factors for the number.
24
Step 2: If a factor is a prime factor, leave it there. If a factor is a composite factor, factor that again.
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8
_
3
Step 3: Repeat steps 1 and 2 until all factors are prime numbers.
_
_
_
2
4
3
_
_
_
_
2
2
2
3
Once you have all of the factors prime, you found the prime factorization!
The prime factorization of 24 is:
(The factors can be rearranged in a different prime factorization of the same number.)
3
The prime factorization does not have to be in expanded form. The prime factorization can have exponents in that expression, based on how many prime factors are there.
For example:
The expression in exponential form still represents the prime factorization of 24.
4
Multiple Choice
Express 5 × 5 × 5 × 7 in exponential form.
73 × 5
53 × 7
57 × 3
5
Multiple Choice
Express 3 × 7 × 7 × 3 × 7 in exponential form.
32 × 73
72 × 33
37 × 23
6
Multiple Choice
Find the prime factorization of 54. Decompose 54 into 9 × 6 first.
24 × 3
2 × 33
22 × 32
7
Multiple Choice
Find the prime factorization of 80. Decompose 80 into 10 × 8 first.
25 × 4
45 × 2
24 × 5
8
Multiple Choice
Find the prime factorization of 75. Decompose 75 into 15 × 5 first.
3 × 52
53 × 2
2 × 35
9
Multiple Choice
Find the prime factorization of 36. Decompose 36 into 9 × 4 first.
22 × 23
34 × 2
22 × 32
10
Multiple Choice
Find the prime factorization of 78. Decompose 78 into 13 × 6 first.
13 × 23
2 × 313
2 × 3 × 13
11
Multiple Choice
Find the prime factorization of 720. Decompose 720 into 40 × 18 first.
24 × 32 × 5
24 × 32
35 × 43
12
Multiple Choice
Find the prime factorization of 576. Decompose 576 into 24 × 24 first.
34 × 5
36 × 22
26 × 32
13
Multiple Choice
Find the prime factorization of 504. Decompose 504 to 24 × 21 first.
25 × 37
23 × 32 × 7
33 × 22 × 5
14
Multiple Choice
Solve for y to complete this prime factorization:
y × 32 = 72
23
22
32
15
Multiple Choice
Solve for y to complete this prime factorization:
24 × y = 80
2
5
32
16
Multiple Choice
Solve for y to complete this prime factorization:
2 × y × 7 = 42
5
2
3
17
Multiple Choice
Solve for y to complete this prime factorization:
23 × y = 72
22
23
32
18
Multiple Choice
Solve for y to complete this prime factorization:
y × 5 = 135
22
3
33
19
Multiple Choice
Solve for y to complete this prime factorization:
25 × y = 224
32
7
23
20
Multiple Choice
Solve for y to complete this prime factorization:
24 × 32 × y = 720
3
7
5
Prime Factorization
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