If x is an integer, then x is divisible by how many positive integers?

Given : x is an integer,
Question : x is divisible by how many positive integers.

Statement 1 : x is the product of three distinct prime numbers.
So, x = a*b*c where a, b,c are prime numbers
So, total number of divisors =(1+1)(1+1)(1+1) = 8
Sufficient

(2) x and 2187 each have the same number of factors.
2187= 3^7
Total number of factors = (1+7)
Sufficient

Answer D

I agree, shouldn't correct answer be B.

Statement 1: x is the product of three distinct prime numbers

x = a * b * c
Power of a, b & c are 1 since they are prime numbers.
As x can be represented, as shown above, we know that

Number of factors of x = (1+1)(1+1)(1+1) = 8
As we got a unique value, statement 1 alone is sufficient to answer this question.

Statement 2: x and 2187 each has same number of factors

We do not need to calculate anything here.

We know that we can find the number of factors by prime factorizing 2187.

Whatever is the number of factors of 2187 will be the number of factors of x as well.

Here too, we will get a unique value

Statement 2 alone is sufficient to answer this question.

Each statement alone is sufficient

Correct Answer: Option D

Hi Bunuel

Shouldn't the answer to this question be B.
In A, 3 distinct prime factors are provided, but their power isn't mentioned.
Are we to assume that if Product of 3 distinct prime numbers is mentioned, then their power should be taken as 1.

naveenban2 the product of 3 prime numbers simply means that X = a*b*c, where a,b and c are prime numbers. Their power is 1.

If I say that X is the product of the 2 and 4, you know that X is 8. Statement A is no different. Hope this helps!