What is the greatest prime factor of 2raise to the power 100 - 2 raise to the power 96?
A. 2
b. 3
c. 7
d. 11
What is the greatest prime factor of 2raise to the power 100 - 2 raise to the power 96?
A. 2
b. 3
c. 7
d. 11
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PLEASE SOLVE THIS QUESTION
What is the greatest prime factor of 2raise to the power 100 - 2 raise to the power 96?
A. 2
b. 3
c. 7
d. 11
Source: Beat The GMAT — Problem Solving |
-
anuprajan5
- Master | Next Rank: 500 Posts
- Posts: 279
- Thanked: 60 times
Well the answer for me would be 5
2^100 - 2^96 = 2^96(2^4-1)
= 2^96(15)
= 2^96(5*3)
So the answer should be 5.
Is the question right or are we missing an option?
Regards
Anup
2^100 - 2^96 = 2^96(2^4-1)
= 2^96(15)
= 2^96(5*3)
So the answer should be 5.
Is the question right or are we missing an option?
Regards
Anup
-
neelgandham
- Community Manager
- Posts: 1060
- Location: Utrecht, The Netherlands
- Thanked: 318 times
You are correct anup. The right question is
What is the greatest prime factor of 2^100 - 2^96?
A. 2
B. 3
C. 5
D. 7
E. 11
What is the greatest prime factor of 2^100 - 2^96?
A. 2
B. 3
C. 5
D. 7
E. 11
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
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Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
