Bunuel wrote:

p is an integer between 10 and 99. Is p less than 80?

(1) The product of the two digits in p is a prime number.

(2) Each of the two digits has at most 2 factors.

Given: p is an integer between 10 and 99

Statement 1

The product of the two digits in p is a prime number. Prime number has 2 factors 1 and itself. So, one digit is 1 and other a prime.

p can at max be 71. Hence, p will always be less than 80.

Sufficient

Statement 2

Each of the two digits has at most 2 factors

This gives us following cases:

1. both digits are 1

2. one of the digits is 1 and other a prime

3. both the digits are prime.

so p can at max be 77. Hence, p will always be less than 80

Sufficient

Answer - D