Final answer:
The statement is false; utilitarianism, by definition, takes into account the consequences of an action, both short-term and long-term, and seeks to provide the greatest happiness for the greatest number of people.
Step-by-step explanation:
The statement that utilitarians deny that long-term consequences are a factor in the morality of any action is False. Utilitarianism is a form of consequentialism that asserts the moral rightness of an action is determined by its consequences. Both Jeremy Bentham and John Stuart Mill, the pioneers of this ethical theory, emphasized that the rightness of actions depends on their ability to produce the greatest happiness for the greatest number. This consideration inherently involves looking at both short-term and long-term consequences. Furthermore, Rule Utilitarianism specifically takes into account the consequences of a rule or action being adopted as a standard practice over time. Therefore, utilitarianism does not dismiss the importance of long-term consequences; rather, it considers all consequences, whether immediate or distant, to evaluate the morality of an action.