FizzBuzz program never satisfies one of the conditions

Write a Python program that displays a message as follows for a given number:

If it is a multiple of three, display "Zip" If it is a multiple of five, display "Zap". If it is a multiple of both three and five, display "Zoom". If it does not satisfy any of the above given conditions, display "Invalid".

def display(num):
    message="Zip, Zap, Zoom"

    if(num%3==0):
      print("Zip")
    elif(num%5==0):
      print("Zap")
    elif((num%3==0) and (num%5==0)):
      print("Zoom")
    else:
      print("Invalid Number")
    return message


message=display(15)
print(message)

I expect the output of 15 to be Zoom, but the actual output is Zip.