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greatest prime factor

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Manager
Joined: 07 Apr 2009
Posts: 140

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24 Apr 2009, 23:42
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What is the greatest prime factor of 2^100 - 2^96?
A. 2
B. 3
C. 5
D. 7
E. 11
Manager
Joined: 14 Nov 2008
Posts: 195
Schools: Stanford...Wait, I will come!!!

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24 Apr 2009, 23:53
vageesh wrote:
What is the greatest prime factor of 2^100 - 2^96?
A. 2
B. 3
C. 5
D. 7
E. 11

This translates to 2^96(2^4-1),
Now.. it is 2^96*15.
So, its prime factors are , 2,3,5...
So.. the highest one is 5, C.
Manager
Joined: 07 Apr 2009
Posts: 140

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24 Apr 2009, 23:58
oh thanks, i was doing , 8-1
Re: greatest prime factor   [#permalink] 24 Apr 2009, 23:58
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