What years are leap years?

There a few simple steps to follow in order to calculate if a year will be a leap year:

  1. Is the year evenly divisible by 4?
    • If no, then it is NOT a leap year.
    • If yes, proceed to step 2.
  2. Is the year evenly divisible by 100?
    • If no, then it IS a leap year.
    • If yes, then proceed to step 3.
  3. Is the year evenly divisible by 400?
    • If no, then it is NOT a leap year.
    • If yes, then it IS a leap year.

Let’s practice with the year 1900 to see if it is a leap year by following the steps:

  1. Is 1900 evenly divisible by 4?
    • 1900/4 = 475 –> YES, proceed to step 2.
  2. Is 1900 evenly divisible by 100?
    • 1900/100 = 19 –> YES, then proceed to step 3.
  3. Is 1900 evenly divisible by 400?
    • 1900/400 = 4.75 –> NO, then it is NOT a leap year.

Quick Hint: Every non-century year that is evenly divisible by 4 is ALWAYS a leap year! That is why the year 2016, a non-century year that is evenly divisible by 4, is a leap year. We can check this by following the same steps:

  1. Is 2016 evenly divisible by 4?
    • 2016/4 = 504 –> YES
  2. Is 2016 evenly divisible by 100?
    • 2016/100 = 2.16 –> NO, so it IS a leap year!

Below is a helpful flow chart:

leapyear

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