How many even numbers between 1 and 523?




How many even numbers between 1 and 523? You could just make a list of all the even numbers between 1 and 523 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 523.

We start by determining the first even number and last even number between 1 and 523. The numbers between 1 and 523 start with 2 and end with 522. That means that the first even number is 2 and the last even number is 522.

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 523?"

N = (Last - First + 2) ÷ 2
N = (522 - 2 + 2) ÷ 2
N = 522 ÷ 2
N = 261
Even numbers between 1 and 523 = 261


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