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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, 07:13
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
Re: For positive integers a, b, and c, where a<b<c, the product abc has ex
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22 Feb 2017, 11:25
1
Option D
Number 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, 10:44
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52% (01:23) correct 
