
Prime Factorization and Exponents
Presentation
•
Mathematics
•
8th - 9th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 5 Questions
1
by AnneMarie Grayburn
2
Write the prime factors using exponents
Look at which factors they share
2, 3, and 5 in the example -->
From the shared factors, choose the smaller exponent
Circled in red
Multiply those together
3
This time, choose the highest exponent of shared factors
Also include the factors they don't share
Example
12 and 90 share 2 and 3
They don't share 5
Choose
Multiply:
4
Multiple Select
Which factors do they share? Select all.
120=23×3×5
2100=22×3×52×7
2
3
5
7
5
Open Ended
What should you multiply to find the GCF?
120=23×3×5
2100=22×3×52×7
6
Choose 22, 3, 5
Multiply together: 22 * 3 * 5 = 30
7
Multiple Choice
Use the prime factorization to find the GCF of 588 and 280.
588=22×3×72
280=23×5×7
5880
420
14
28
8
Open Ended
What should you multiply to find the LCM?
120=23×3×5
2100=22×3×52×7
9
Choose 23, 3, 52, 7
Multiply together:
10
Multiple Choice
Use the prime factorization to find the LCM of 588 and 280.
588=22×3×72
280=23×5×7
5880
420
14
28
by AnneMarie Grayburn
Show answer
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