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
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?