How many even numbers between 1 and 1528?




How many even numbers between 1 and 1528? You could just make a list of all the even numbers between 1 and 1528 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 1528.

We start by determining the first even number and last even number between 1 and 1528. The numbers between 1 and 1528 start with 2 and end with 1527. That means that the first even number is 2 and the last even number is 1526.

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 1528?"

N = (Last - First + 2) ÷ 2
N = (1526 - 2 + 2) ÷ 2
N = 1526 ÷ 2
N = 763
Even numbers between 1 and 1528 = 763


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