How many even numbers between 1 and 2635?




How many even numbers between 1 and 2635? You could just make a list of all the even numbers between 1 and 2635 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 2635.

We start by determining the first even number and last even number between 1 and 2635. The numbers between 1 and 2635 start with 2 and end with 2634. That means that the first even number is 2 and the last even number is 2634.

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 2635?"

N = (Last - First + 2) ÷ 2
N = (2634 - 2 + 2) ÷ 2
N = 2634 ÷ 2
N = 1317
Even numbers between 1 and 2635 = 1317


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