160763

I first found February because it is the only months that ends in the 28th or the 29th, while other months ends in the 30th or 31st. Then I found January by looking at the 1st day on February, which starts on a Saturday. So that means that the last day of January ends on a Friday. Another clue is that January has 31 days, rather then 30 days. To find March which has 31 days, I looked at the last day of February, which is Friday. That means the first day of March is on a Saturday. It also has to have 31 days. So by by looking at the number of days and the first or last day of one month, you can solve this problem.