Can the positive integer x be expressed as the product of two integers, each of which is greater than 1?

(1) x is a multiple of 2

(2) x is a multiple of 6

Guys - pretty straight question by the looks of it and as far as I am concerned the answer should be E. But this is not the case. below is my solution. Can someone please help?

Statement 1 : x is a multiple of 2

X = 2, 2 * 1. No. Both integers are not greater than 1

X = 4, 2 * 2 yes. Both integers are greater than 1.

2 different answers ---- therefore this statement is insufficient.

Statement 2: x is a multiple of 6

x = 6, 1* 6. No. Both integers are not greater than 1.

x = 12, 2*6 Yes. Both integers are greater than 1.

2 different answers ---- therefore this statement is insufficient.

Combining the 2 statements

x is a multiple of 2 and 6

x = 6 = 1*6 or 2 * 3

x= 12 = 1* 12 or 2*6

Again two different solutions and therefore the answer should be E.

Its from Edvento, the question bank from

e-gmat.

If the positive integer x cannot be expressed as the product of two integers, each of which is greater than 1, then it simply means that p is a prime number. So, basically question asks whether p is a prime number.

(1) x is a multiple of 2. If x=2, then we CANNOT express x as the product of two integers, each of which is greater than 1 but if x is 6, then we CAN as the product of two integers, each of which is greater than 1: 6=2*3. Not sufficient.

OR: we know that the question basically asks whether x is a prime. x from this statement can be a prime (2) as well as non-prime (4). Not sufficient.

(2) x is a multiple of 6. x can be 6, 12, 18, 24, ... x has at least two primes 2 and 3. In any case x CAN be expressed as the product of two integers, each of which is greater than 1. For example, if 6=2*3, 12=3*4, 18=2*9, 24=2*12, ... Sufficient.

OR: we know that the question basically asks whether x is a prime. x from this statement cannot be a prime. Sufficient.

Answer: B.