If a positive integer n has 211 factors,then how many prime factors does n have?  Choose the correct choice from the following answers
A) 3
B) 2
C) can not be determined
D) 4
E) 1

Rationale: let the factor be a ^ x * b ^ y . . . . . so ( x + 1 ) ( y + 1 ) . . . . . = 211 . . now 211 is a prime number . . . so only one variable x or y is 210 and the others are 0 . . ( 210 + 1 ) ( 0 + 1 ) . . . so the number becomes a ^ 210 . . thus only one prime factor is there .
Answer: E