Number Theory question

[gig92]

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

1) 31 < p < 37
2) p is odd

[Rahul@gurome]

(1) p can take any values from 32, 33, 34, 35, 36 and all these values can be expressed as the product of two integers.
So, (1) is SUFFICIENT.

(2) If p = 3, 5, 7, 11, then p cannot be expressed as the product of two integers.
If p = 9, 15, 21, then p can be expressed as the product of two integers. No unique answer.
So, (2) is NOT SUFFICIENT.

[spoiler]The correct answer is (A).[/spoiler]

[sk818020]

The question is basically asking if p is a prime number.

1) No number between 31 and 37 is prime, so sufficient.
2) There odd numbers that are prime and not prime, so insufficient.

A

Hope this helps.

Thanks,

Jared