If x and y are prime numbers, and n is a positive integer, what is the

Question

If  x  and  y  are prime numbers, and  n  is a positive integer, what is the number of factors of  x^ny^n ?

(1)  xy=6 
(2)  n=2

Maheshkv · Answer

My answer: C

Statement-1: x and y are not same
Statement-2: value of n

Combined: gives the number of factors would be (n+1)^2

If x and y are same then answer would be 2n+1

harshchougule · Answer

My answer is D

Statement 1 : xy=6 => x^1y^1=6 => (1+1)(1+1) =4
Statement 2 : n=2 => (2+1)(2+1)= 9

Alick1 · Answer

Please check , as per me, answer is B. n=2.
Then the number of factors is 
(2+1)^2=9.

This gives a unique answer.

Bunuel · Answer

What if x and y are the same prime? In this case  x^ny^n=x^nx^n=x^{2n}  and the number of factors is 2n + 1.

Recall that, unless explicitly stated otherwise, different variables can represent the same value.

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