How many even numbers between 106 and 123?




How many even numbers between 106 and 123? You could just make a list of all the even numbers between 106 and 123 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 106 and 123.

We start by determining the first even number and last even number between 106 and 123. The numbers between 106 and 123 start with 107 and end with 122. That means that the first even number is 108 and the last even number is 122.

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 106 and 123?"

N = (Last - First + 2) ÷ 2
N = (122 - 108 + 2) ÷ 2
N = 16 ÷ 2
N = 8
Even numbers between 106 and 123 = 8


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