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# Which of the following is not a factor of 168?

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

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16 Jan 2019, 07:48
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86% (01:05) correct 14% (01:11) wrong based on 24 sessions

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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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16 Jan 2019, 08:02
After prime factorization:
168=$$2^3$$*3*7

only D has $$2^5$$ so it cant be the factor of 168

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

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16 Jan 2019, 08:05
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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21 Jan 2019, 18:42
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, 18:42
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