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What is the remainder when 3^7 is divided by 8?

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What is the remainder when 3^7 is divided by 8? [#permalink] New post 14 Apr 2018, 02:47
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What is the remainder when 3^7 is divided by 8?

(A) 1
(B) 2
(C) 3
(D) 5
(E) 7
[Reveal] Spoiler: OA

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Re: What is the remainder when 3^7 is divided by 8? [#permalink] New post 16 Apr 2018, 02:23
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Take out some values of 3 when raised to the power

3^1 = 3 when divided by 8 remainder = 3
3^2 = 9 when divided by 8 remainder = 1
3^3 = 27 when divided by 8 remainder = 3
3^4 = 81 when divided by 8 remainder = 1

There is a continuous pattern of 3 and 1 repeating when 3 is raised to a power of something and is divided by8

Hence the possible ans choices are 3 and 1 however, 3 is the ans when 3 is raised to odd powers and 1 is the ans when 3 is raised to even power
therefore, option c
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Re: What is the remainder when 3^7 is divided by 8?   [#permalink] 16 Apr 2018, 02:23
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What is the remainder when 3^7 is divided by 8?

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