How many divisors does positive integer have?

1.The difference between the largest and the smallest divisor of is 21

2. has 2 divisors

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient

Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient

EACH statement ALONE is sufficient

Statements (1) and (2) TOGETHER are NOT sufficient

S1 is sufficient. The difference between the largest and the smallest divisor of . Thus, .

S2 is not sufficient. Consider and .

The correct answer is A. Does not make sense to me at all. In order for A to be true, it looks like we have to assume all the factors are 22 consecutive integers.