Problems to Ponder: Factor Craze

  • Factor Craze

    Scenario

    Here's a Problem to Ponder that will help your students ease back into the groove at the start of the school year. Students usually know that prime numbers have exactly two factors -1 and the number itself. But, which numbers have exactly three factors? Exactly four factors? Exactly five factors? Exactly six factors?

    The general extension: Given a positive integer, n , how can we tell exactly how many factors it has?

    Source

    Problems to Ponder, August 2011