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Problem Solving (PS) | Re: For positive integers a, b, and c, where a

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0
0
 
Spartan85 wrote:

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

­The question doesn't say that it has 3 distinct prime factors. It simply says 3 prime factors, and usually, unless the question stem explicitly says 'distinct', we take TOTAL number of prime numbers into account. So there are 6 + 6 + 6 = 18 prime factors in your expression. 

Statistics : Posted by ZIX • on 22 Feb 2017, 06:26 • Replies 6 • Views 6076



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