Bunuel wrote:

If v = (w)^2(y)(z), how many positive factors does v have?

(1) w, y and z are integers greater than 1

(2) w, y and z are distinct prime numbers

Given: v = (w)^2(y)(z)

Required: Number of positive factors of v

We can find the number of factors of N = (x^a)*(y^b)*(z^c) if x, y and z are different prime numbers.

Number of factors = (a+1)(b+ 1)(c+1)

Statement 1: w, y and z are integers greater than 1

If w,y and z are prime, we can find the number of factors. If they are not, we cannot find.

INSUFFICIENT

Statement 2: w, y and z are distinct prime numbers

This clearly tells us that w,y and z are distinct prime numbers.

Hence we can find the number of factors.

Number of factors = 3*2*2 = 12 (Not needed to calculate for the question)

SUFFICIENT

Option B