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04 Dec 2014, 01:32
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
68% (00:59) correct
32%
(01:04)
wrong
based on 600
sessions
History
Date
Time
Result
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How many positive distinct prime factors does 5^20 + 5^17 have?
A) One
B) Two
C) Three
D) Four
E) Five
A) One
B) Two
C) Three
D) Four
E) Five
04 Dec 2014, 01:43
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\(5^{20} + 5^{17}\) = \(5^{17}(5^3+1)\)
=\(5^{17}(125+1)\)
=\(5^{17} (126)\)
=\(5^{17} .2.7.3^2\)
thus total number of distinct prime factors are 4 (2,3,5,7)
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