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The Prime Sum of an integer \(X\) greater than \(1\) is the sum of all prime factors of \(X\) including repetitions.

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by Vincen » Sat Dec 26, 2020 3:10 pm

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The Prime Sum of an integer \(X\) greater than \(1\) is the sum of all prime factors of \(X\) including repetitions. A positive integer \(n\) can be expressed as a product of two natural numbers at least one of which is even. What is the Prime Sum of \(n?\)

(1) \(n\) has only \(3\) prime factors and the smallest prime factor of \(n\) is raised to a power equal to the next biggest prime factor of \(n.\)

(2) The prime factors of \(n\) are consecutive and the total number of divisors of \(n\) is \(16.\)

Answer: C

Source: e-GMAT
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