Question 7
Use three different digits $A$, $B$ and $C$ exactly once to create 6 three-digit numbers. Among these numbers, it is known that:
- Only one number is divisible by 16.
- Excluding the above number, only one number is divisible by 4.
- Excluding the above two numbers, only two numbers are divisible by 2.
- One number is a prime number.
- One number is a square of a prime number.
What is the largest three-digit number that can be formed by using digits $A$, $B$ and $C$ exactly once?
- Only one number is divisible by 16.
- Excluding the above number, only one number is divisible by 4.
- Excluding the above two numbers, only two numbers are divisible by 2.
- One number is a prime number.
- One number is a square of a prime number.
What is the largest three-digit number that can be formed by using digits $A$, $B$ and $C$ exactly once?