Statement 1: The sum of the digits of the number is equal to the product of the digits. If the 3-digit number is 123, 132, 213, 231, 312, or 321, then the sum of the digits of the number would be equal to the product of the digits. As, $1 + 2 + 3 = 1 \times 2 \times 3$ Or $6 = 6$ So, Statement 1 alone is not sufficient.

Statement2: The number is divisible by the sum of the digits of the number. We can see that, $132/6 = 22$, and $312/6 = 52$ So, Statement 2 alone is not sufficient. Even after using both the statements together, we cannot determine a unique 3-digit number.

Hence, option (D) is correct.