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# If a = 16b and b is a prime number greater than 2, how many

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 [0], given: 397

If a = 16b and b is a prime number greater than 2, how many [#permalink]  12 Aug 2018, 15:24
Expert's post
00:00

Question Stats:

25% (00:00) correct 75% (00:00) wrong based on 4 sessions
If $$a = 16b$$ and b is a prime number greater than 2, how many positive distinct factors does a have?

[Reveal] Spoiler: OA
10

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 [0], given: 397

Re: If a = 16b and b is a prime number greater than 2, how many [#permalink]  15 Aug 2018, 08:13
Expert's post
Explanation

Because this is a numeric entry question, there can be only one correct answer. So, plugging in any prime number greater than 2 for b must yield the same result. Try b = 3.

If a = 16b and b = 3, then a is 48. The factors (not prime factors) of 48 are: 1 & 48, 2 & 24, 3 & 16, 4 & 12, and 6 & 8. There are 10 distinct factors.
_________________

Sandy
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Re: If a = 16b and b is a prime number greater than 2, how many   [#permalink] 15 Aug 2018, 08:13
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