Question

The teacher wrote the three-digit number with unit digit 8 he imagined on the board. Three students made two assumptions about the given number.
Student 1 : All digits are even and it has an even number of different prime factors.
Student 2 : It is a multiple of 9 and it is a perfect square.
Student 3: It is less than 400 and it is 13 times greater than one perfect square.
Which number did the teacher imagine if each student guessed just one assumption?

Answer 1

Answer:

Student 2[is the correct ones]