If x/23 is a positive integer with a factor of 6, which of the following statements must be true?

I. x > 23
II. x has at least 3 prime factors
III. x is odd

Correct answer marked below

I only

II only

III only

I and II only

Correct

I, II and III

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What this question tests

Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.

Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.

If x/23 is a positive integer with a factor of 6, which of the following statements must be true?I. x > 23II. x has at least 3 prime factorsIII. x is odd