How many odd numbers between 1 and 2438?




How many odd numbers between 1 and 2438? You could just make a list of all the odd numbers between 1 and 2438 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 odd numbers there are between 1 and 2438.

We start by determining the first odd number and last odd number between 1 and 2438. The numbers between 1 and 2438 start with 2 and end with 2437. That means that the first odd number is 3 and the last odd number is 2437.

Now you add 2 to the difference of the last odd number and the first odd number, and then divide the sum by 2. Here is the formula and the answer to "How many odd numbers between 1 and 2438?"

N = (Last - First + 2) ÷ 2
N = (2437 - 3 + 2) ÷ 2
N = 2436 ÷ 2
N = 1218
Odd numbers between 1 and 2438 = 1218


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