How many even numbers between 1 and 406?




How many even numbers between 1 and 406? You could just make a list of all the even numbers between 1 and 406 and then count them, but what fun would that be?

Instead, we have created this simple process with a small formula to calculate exactly how many even numbers there are between 1 and 406.

We start by determining the first even number and last even number between 1 and 406. The numbers between 1 and 406 start with 2 and end with 405. That means that the first even number is 2 and the last even number is 404.

Now you add 2 to the difference of the last even number and the first even number, and then divide the sum by 2. Here is the formula and the answer to "How many even numbers between 1 and 406?"

N = (Last - First + 2) ÷ 2
N = (404 - 2 + 2) ÷ 2
N = 404 ÷ 2
N = 202
Even numbers between 1 and 406 = 202


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