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04 Dec 2014, 01:32
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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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pbarrocas
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
\(5^{20} + 5^{17}\) = \(5^{17}(5^3+1)\)
=\(5^{17}(125+1)\)
=\(5^{17} (126)\)
=\(5^{17} .2.7.3^2\)
thus total number of distinct prime factors are 4 (2,3,5,7)
General Discussion
31 Jan 2016, 18:59
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manpreetsingh86
pbarrocas
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
\(5^{20} + 5^{17}\) = \(5^{17}(5^3+1)\)
=\(5^{17}(125+1)\)
=\(5^{17} (126)\)
=\(5^{17} .2.7.3^2\)
thus total number of distinct prime factors are 4 (2,3,5,7)
Hi,
Shouldn't it be 1, 2, 3, 5 and 7? Please confirm. Thanks.
