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Q1 | Prime Numbers

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Intern
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Joined: 31 Jan 2017
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Q1 | Prime Numbers  [#permalink]

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New post 20 Mar 2017, 05:02
For any positive integer n, the length of n is defined as the number of prime factors whose product is n. For example, the length of 75 is 3, since 75 = 3 x 5 x 5. How many two-digit positive integers have length 6?

(A) None
(B) One
(C) Two
(D) Three
(E) Four

The correct answer is (C). Can anyone explain how to get to this answer?




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Re: Q1 | Prime Numbers  [#permalink]

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New post 20 Mar 2017, 05:25
Okay, I solved it. I started with the smallest prime number:
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 64
Then I changed the last number with the next prime number 3:
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 = 96
Every other combination with 6 prime numbers exceeds 99/ last two-digit positive integer. Therefore the answer must be two.


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Re: Q1 | Prime Numbers  [#permalink]

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New post 22 Mar 2017, 06:53
thtran wrote:
For any positive integer n, the length of n is defined as the number of prime factors whose product is n. For example, the length of 75 is 3, since 75 = 3 x 5 x 5. How many two-digit positive integers have length 6?

(A) None
(B) One
(C) Two
(D) Three
(E) Four

The correct answer is (C). Can anyone explain how to get to this answer?




Sent from my iPhone using GMAT Club Forum mobile app


This question is discussed here: for-any-positive-integer-n-the-length-of-n-is-defined-as-126740.html

Please follow the rules when posting a question. Thank you.

--== Message from the GMAT Club Team ==--

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This discussion does not meet community quality standards. It has been retired.


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To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: Q1 | Prime Numbers &nbs [#permalink] 22 Mar 2017, 06:53
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