I personally think zoos are cruel. It is cruel to keep them from their natural habitat. They are forced to live in small spaces. This causes them stress and sadness. They are usually not treated well. Animals are not for human’s pure entertainment, they are sentimental beings who deserve to be happy in a natural environment. They are not just a paycheck.
Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.