How many even numbers between 1 and 401?




How many even numbers between 1 and 401? You could just make a list of all the even numbers between 1 and 401 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 401.

We start by determining the first even number and last even number between 1 and 401. The numbers between 1 and 401 start with 2 and end with 400. That means that the first even number is 2 and the last even number is 400.

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 401?"

N = (Last - First + 2) ÷ 2
N = (400 - 2 + 2) ÷ 2
N = 400 ÷ 2
N = 200
Even numbers between 1 and 401 = 200


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