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For positive integers a, b, and c, where a<b<c, the product abc has ex
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22 Feb 2017, 06:26
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Re: For positive integers a, b, and c, where a<b<c, the product abc has ex
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22 Feb 2017, 06:48
Answer : D If product a*b*c has exactly 3 prime factors, a can have maximum 3 prime factors. eg. a= 2^1 * 3^1 * 5^1 b = 2^2 * 3^2 * 5^2 c = 2^3 * 3^3 * 5^3 Now a * b* c = 2^6 * 3^6 * 5^6
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For positive integers a, b, and c, where a<b<c, the product abc has ex
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22 Feb 2017, 08:13
Bunuel wrote: For positive integers a, b, and c, where a<b<c, the product abc has exactly three prime factors. What is the maximum number of prime factors of a?
A. 0 B. 1 C. 2 D. 3 E. 4 for maximum no. of prime factors of a , it should be multiple of three prime nos.(since abc has only three prime factors) and b &c could have any number of those three prime factors in a. say if a =5^x * 7^y * 2^z then b = 5^x * 7^y or any such prime combinations & c= 5^x or 7^y or any combination as per condition a<b<c thus a have max. of 3 prime factors Ans D



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Re: For positive integers a, b, and c, where a<b<c, the product abc has ex
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22 Feb 2017, 10:52
Bunuel wrote: For positive integers a, b, and c, where a<b<c, the product abc has exactly three prime factors. What is the maximum number of prime factors of a?
A. 0 B. 1 C. 2 D. 3 E. 4 Hi GMATPrepNow, Can you throw some light on these kinds of problem? The easiest way to deal?
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Re: For positive integers a, b, and c, where a<b<c, the product abc has ex
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22 Feb 2017, 12:25
Option DNumber of prime factors of a will be maximum when a has same prime factors as the product a* b* c. So, the maximum number of prime factors a can have = number of prime factors of product a* b* c = 3.
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Re: For positive integers a, b, and c, where a<b<c, the product abc has ex
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01 Sep 2018, 11:44
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