Final answer:
The machine takes an input number and divides it by 3 to produce the output.
Step-by-step explanation:
The student asks to write the number and operation for the machine based on the given input/output table. To determine the operation, we can analyze the differences between the inputs and outputs or find a pattern. Let's take a look at the first input/output pair given: 3456 (input) and 1152 (output). If we divide 1152 by 3456, we get exactly 1/3. Hence, it appears that the machine is dividing the input by 3.
Let's verify this with another row from the table: if we take the input 3531 and divide it by 3, we get 1177, which is the provided output for that input. This pattern holds for all the given pairs. Therefore, the operation for the machine is division by 3.