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GMAT Problem Solving (PS) | Re: If x is the smallest positive integer that is not prime and

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balentina1 wrote:

Factors of 50!: 1,2,3,......,50

If x is not a factor of 50! then one of his primes must be bigger than 49 ( the largest prime of 50!).

The next prime is 53.Thus x must be a multiple of 53.

Since x is not a prime the smallest possible multiple of 53 is 53 * 2 = 106

Sum of his factors: 1+2+53+106 = 162

Hope i helped Image


This reasoning is fallacious because the statement in red ("If x is not a factor of 50! then one of his
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