How many odd numbers between 1 and 3205?




How many odd numbers between 1 and 3205? You could just make a list of all the odd numbers between 1 and 3205 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 3205.

We start by determining the first odd number and last odd number between 1 and 3205. The numbers between 1 and 3205 start with 2 and end with 3204. That means that the first odd number is 3 and the last odd number is 3203.

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 3205?"

N = (Last - First + 2) ÷ 2
N = (3203 - 3 + 2) ÷ 2
N = 3202 ÷ 2
N = 1601
Odd numbers between 1 and 3205 = 1601


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