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Which of the following is not a factor of 168?

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Which of the following is not a factor of 168?  [#permalink]

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New post 16 Jan 2019, 08:48
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Which of the following is not a factor of 168?

A. 21

B. 24

C. 28

D. 32

E. 42

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Which of the following is not a factor of 168?  [#permalink]

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New post 16 Jan 2019, 09:02
After prime factorization:
168=\(2^3\)*3*7

only D has \(2^5\) so it cant be the factor of 168


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Re: Which of the following is not a factor of 168?  [#permalink]

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New post 16 Jan 2019, 09:05
D) 32 as 32= 2^5 and 168= 2^3*3*7


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Re: Which of the following is not a factor of 168?  [#permalink]

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New post 21 Jan 2019, 19:42
SajjadAhmad wrote:
Which of the following is not a factor of 168?

A. 21

B. 24

C. 28

D. 32

E. 42


Breaking 168 into primes, we have:

168 = 2 x 84 = 2 x 21 x 4 = 2^3 x 3^1 x 7^1

We see that 168 contains 2^3 as the highest power of 2 that is a factor. Since 32 = 2^5, then 32 is not a factor of 168.
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Re: Which of the following is not a factor of 168?   [#permalink] 21 Jan 2019, 19:42
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Which of the following is not a factor of 168?

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