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15 Oct 2019, 05:08
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student26
What is the greatest prime factor of \(4^{17} - 2^{28}\)?
A. 2
B. 3
C. 5
D. 7
E. 11
A. 2
B. 3
C. 5
D. 7
E. 11
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Hope it helps.
29 Oct 2020, 08:14
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student26
What is the greatest prime factor of \(4^{17} - 2^{28}\)?
A. 2
B. 3
C. 5
D. 7
E. 11
\(4^{17} - 2^{28}\)A. 2
B. 3
C. 5
D. 7
E. 11
\(=2^{34} - 2^{28}\)
\(=2^{28} (2^6 - 1 ) \)
\(=2^{28} 63 \)
\(=2^{28}7*9\), Hence, Answer must be (D)
31 Jan 2021, 07:35
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Hi, I have a question. Your reasonings are all logic, but isn't the greatest prime factor of a number n the biggest prime number that divides n?
If this definition is correct, then 4^17 - 2^28 is actually divisible by 11, so wouldn't that make it the largest prime factor? Actually even 13 divides this number so i wouldn't know..
This is confusing me, maybe the definition is wrong, if somebody can explain it would be great.
If this definition is correct, then 4^17 - 2^28 is actually divisible by 11, so wouldn't that make it the largest prime factor? Actually even 13 divides this number so i wouldn't know..
This is confusing me, maybe the definition is wrong, if somebody can explain it would be great.
