BTGmoderatorDC wrote:If x is an integer, then x is divisible by how many positive integers?
(1) x is the product of three distinct prime numbers.
(2) x and 2187 each have the same number of factors.
OA D
Source: e-GMAT
Let's take each statement one by one.
(1) x is the product of three distinct prime numbers.
Say x = p*q*r, where p, q and r are prime numbers. The factors of pqr are 1, p, q, r, pq, pr, qr and pqr. There are 8 factors. Sufficient.
(2) x and 2187 each have the same number of factors.
Since 2187 is a constant, we can certainly find out its number of factors. There is no need to find out since we are sure that it's a unique value. Sufficient.
The correct answer:
D
Hope this helps!
-Jay
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