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Quant - Problem Solving

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Quant - Problem Solving

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If x is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of x?

A. 51
B. 54
C. 72
D. 162
E. 50!+2

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shreeja99 wrote:
If x is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of x?

A. 51
B. 54
C. 72
D. 162
E. 50!+2
https://www.beatthegmat.com/if-x-is-the-smallest-positive-integer-that-is-not-prime-t268581.html

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shreeja99 wrote:
If x is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of x?

A. 51
B. 54
C. 72
D. 162
E. 50!+2
The smallest positive integer that is not a factor of 50! is 53 since 53 is a prime. However, since we don’t want the number to be a prime, we can multiply 53 by 2 and obtain 106, and 106 will be the smallest positive integer that is not prime and not a factor of 50!.

The sum of the factors of 106 is 106 + 1 + 53 + 2 = 162.

Answer: D

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