How many even numbers between 2 and 102?




How many even numbers between 2 and 102? You could just make a list of all the even numbers between 2 and 102 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 2 and 102.

We start by determining the first even number and last even number between 2 and 102. The numbers between 2 and 102 start with 3 and end with 101. That means that the first even number is 4 and the last even number is 100.

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 2 and 102?"

N = (Last - First + 2) ÷ 2
N = (100 - 4 + 2) ÷ 2
N = 98 ÷ 2
N = 49
Even numbers between 2 and 102 = 49


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