Final answer:
The false statement according to Coulomb's law is that like charges repel each other; however, this is a true statement. Coulomb's law also states that unlike charges attract and the force between charges is directly proportional to their product and inversely proportional to the distance squared between them.
Step-by-step explanation:
The false statement in the question according to Coulomb's law of attraction is 1) Like charges repel each other. The correct facts are as follows: 2) Unlike charges attract each other, 3) The force between two charges is directly proportional to the product of their magnitudes, and 4) The force between two charges is inversely proportional to the square of the distance between them. Therefore, the first statement is indeed true, and not false, since like charges do repel each other according to Coulomb's law.