Brick of Nebuchadnezzar

Was every brick in ancient Babylon inscribed with the name of Nebuchadnezzar? Bricks like this Nebuchadnezzar II Brick are very common around the ruins of ancient Babylon. King Nebuchadnezzar used them in all of his official building projects and they were made in the millions and every one of them was stamped or inscribed in cuneiform. The discovery of this Nebuchadnezzar II inscribed brick is important in the study of Biblical Archaeology because it contains a declaration by king Nebuchadnezzar II, the monarch who is mentioned so often in the Bible and is the one who destroyed the Temple in Jerusalem in 586 BC and carried the Jews away into exile. "Modern research has shown that Nebuchadnezzar was the greatest monarch that Babylon, or perhaps the East generally, ever produced. He must have possessed an enormous command of human labor, nine-tenths of Babylon itself, and nineteen-twentieths of all the other ruins that in almost countless profusion cover the land, are composed of bricks stamped with his name. He appears to have built or restored almost every city and temple in the whole country. His inscriptions give an elaborate account of the immense works which he constructed in and about Babylon itself, abundantly illustrating the boast, 'Is not this great Babylon which I have built?'" - George Rawlinson, Historical Illustrations of the Old Testament "And in the fifth month, on the seventh day of the month, which is the nineteenth year of king Nebuchadnezzar king of Babylon, came Nebuzaradan, captain of the guard, a servant of the king of Babylon, unto Jerusalem: And he burnt the house of the LORD, and the king's house, and all the houses of Jerusalem, and every great man's house burnt he with fire." 2 Kings 25:8