Find the smallest positive integer N such that N/2 is a perfect cube, N/3 is a perfect fifth power and N/5 is a perfect seventh power.
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
In how many ways can the number 1 000 000 be expressed as the product of three positive integers?
How many numbers between one and one hundred have a factor of five and how many have more than one factor that is five?