How many odd numbers between 1 and 4167?




How many odd numbers between 1 and 4167? You could just make a list of all the odd numbers between 1 and 4167 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 4167.

We start by determining the first odd number and last odd number between 1 and 4167. The numbers between 1 and 4167 start with 2 and end with 4166. That means that the first odd number is 3 and the last odd number is 4165.

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 4167?"

N = (Last - First + 2) ÷ 2
N = (4165 - 3 + 2) ÷ 2
N = 4164 ÷ 2
N = 2082
Odd numbers between 1 and 4167 = 2082


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