Can the positive integer p be expressed as the product of two integers, each of which is greater than 1?1. 31 < p < 372. p is odd

The question is asking if a positive integer p can be expressed as the product of two integers, each of which is greater than 1.

1. The first statement tells us that p is greater than 31 and less than 37. The only integers that fit this criteria are 32, 33, 34, 35, and 36. Out of these, 32, 34, and 36 can be expressed as the product of two integers greater than 1, but 33 and 35 cannot. Therefore, this statement alone is not sufficient to answer the question.

2. The second statement tells us that p is odd. This means that p cannot be the product of two integers greater than 1, unless one of those integers is 1, which contradicts the original question. Therefore, this statement alone is also not sufficient to answer the question.

However, if we combine both statements, we know that p is an odd number between 31 and 37. The only odd numbers in this range are 33 and 35, neither of which can be expressed as the product of two integers greater than 1. Therefore, the answer to the question is no, p cannot be expressed as the product of two integers, each of which is greater than 1.