If a positive integer n has 211 factors,then how many prime factors does n have?
Choices
A) 3
B) 2
C) cannot be determined
D) 4
E) 1
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 ON1 prime factor is there.
<result>E</result>
If a positive integer n has 211 factors,then how many prime factors does n have?