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What is the sum of the unique prime factors of 384?

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What is the sum of the unique prime factors of 384?  [#permalink]

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New post 30 Aug 2017, 23:20
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (00:37) correct 14% (00:54) wrong based on 82 sessions

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Re: What is the sum of the unique prime factors of 384?  [#permalink]

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New post 30 Aug 2017, 23:32
Bunuel wrote:
What is the sum of the unique prime factors of 384?

A. 5
B. 10
C. 17
D. 24
E. 29


2*2*3*3*3*3

2+3 = 5
A
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Re: What is the sum of the unique prime factors of 384?  [#permalink]

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New post 30 Aug 2017, 23:54
1
Prime Factors of 384 are: 2*2*3*3*3*3
There are two unique prime factors: 2,3
Sum of Unique prime factors= 2+3=5

Answer: A.

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Re: What is the sum of the unique prime factors of 384?  [#permalink]

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New post 31 Aug 2017, 00:37
Bunuel wrote:
What is the sum of the unique prime factors of 384?

A. 5
B. 10
C. 17
D. 24
E. 29


384 when prime factorized gives us 2^7 * 3
There are 2 prime factors in this number 2 and 3.

Therefore, the sum of the unique prime factors must be 2+3 = 5(Option A)

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Re: What is the sum of the unique prime factors of 384?  [#permalink]

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New post 31 Aug 2017, 01:18
Ans is A
384= 2^7 x 3
Sum = 2+3 =5
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Re: What is the sum of the unique prime factors of 384?  [#permalink]

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New post 31 Aug 2017, 10:09
5 as factorization of 384 is 2^8*3^1 so 2+3=5 as it says sum of unique prime factors

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Re: What is the sum of the unique prime factors of 384?  [#permalink]

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New post 02 Sep 2017, 07:23
Bunuel wrote:
What is the sum of the unique prime factors of 384?

A. 5
B. 10
C. 17
D. 24
E. 29


384 = 4 x 96 = 4 x 48 x 2 = 2^7 x 3

So, the sum of the unique prime factors is 2 + 3 = 5.

Answer: A
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Re: What is the sum of the unique prime factors of 384? &nbs [#permalink] 02 Sep 2017, 07:23
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