1) Which of the five numbers 2007, 2008, 2009, 2010 and 2011 has the largest number of factors and which one has the fewest number of factors?
2) And determine the total number of factors for the number:
2007 * 2008 * 2009 * 2010 * 2011
For example, 21 has 4 factors (1,3,7,21) and 20 has 6 factors (1,2,4,5,10,20)
I know this is a very stupid problem but I am tired of solving the factors and there are like millions of them...And I know there is a trick of doing it! can you please help me figuring it out?
Thanks a lot!