How many even numbers between 1 and 4538?




How many even numbers between 1 and 4538? You could just make a list of all the even numbers between 1 and 4538 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 4538.

We start by determining the first even number and last even number between 1 and 4538. The numbers between 1 and 4538 start with 2 and end with 4537. That means that the first even number is 2 and the last even number is 4536.

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 4538?"

N = (Last - First + 2) ÷ 2
N = (4536 - 2 + 2) ÷ 2
N = 4536 ÷ 2
N = 2268
Even numbers between 1 and 4538 = 2268


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