How many odd numbers between 1 and 2144?




How many odd numbers between 1 and 2144? You could just make a list of all the odd numbers between 1 and 2144 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 2144.

We start by determining the first odd number and last odd number between 1 and 2144. The numbers between 1 and 2144 start with 2 and end with 2143. That means that the first odd number is 3 and the last odd number is 2143.

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 2144?"

N = (Last - First + 2) ÷ 2
N = (2143 - 3 + 2) ÷ 2
N = 2142 ÷ 2
N = 1071
Odd numbers between 1 and 2144 = 1071


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