How many whole numbers can be divided equally into 2010 and what are they?

Answer 1

First, factor 2010 into its primes: [2 3 5 67] Then combine them

1 at a time: {2 3 5 67}

2 at a time: {6 10 15 134 201 335}

3 at a time: {30 402 670 1005}

4 at a time {2010}

The whole list of 16 is {1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 2010} ■