How many even numbers between 1 and 2224?




How many even numbers between 1 and 2224? You could just make a list of all the even numbers between 1 and 2224 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 2224.

We start by determining the first even number and last even number between 1 and 2224. The numbers between 1 and 2224 start with 2 and end with 2223. That means that the first even number is 2 and the last even number is 2222.

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 2224?"

N = (Last - First + 2) ÷ 2
N = (2222 - 2 + 2) ÷ 2
N = 2222 ÷ 2
N = 1111
Even numbers between 1 and 2224 = 1111


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