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What is the remainder

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What is the remainder [#permalink] New post 28 Dec 2016, 03:08
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Question Stats:

88% (00:20) correct 11% (00:35) wrong based on 18 sessions
What is the remainder when \(6^3\) is divided by 8?

(A) 5
(B) 3
(C) 2
(D) 1
(E) 0
[Reveal] Spoiler: OA

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Re: What is the remainder [#permalink] New post 01 Jan 2017, 23:01
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Re: What is the remainder [#permalink] New post 27 Jan 2017, 12:26
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Expert's post
Carcass wrote:
What is the remainder when \(6^3\) id divided by 8?

(A) 5
(B) 3
(C) 2
(D) 1
(E) 0


6 = (2)(3)
So, 6³ = [(2)(3)]³
= [(2)(3)][(2)(3)][(2)(3)]
= (2)(2)(2)(3)(3)(3)
= (2)(2)(18)(3)

Aha! So, 6³ is a multiple of 18, which means the remainder will by 0, when 6³ is divided by 18

Answer: E

Cheers,
Brent
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Re: What is the remainder [#permalink] New post 22 Jan 2018, 07:13
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6^3=216
216/8=27
completely divisible hence 0 remainder
Re: What is the remainder   [#permalink] 22 Jan 2018, 07:13
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