How many even numbers between 1 and 1972?




How many even numbers between 1 and 1972? You could just make a list of all the even numbers between 1 and 1972 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 1972.

We start by determining the first even number and last even number between 1 and 1972. The numbers between 1 and 1972 start with 2 and end with 1971. That means that the first even number is 2 and the last even number is 1970.

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 1972?"

N = (Last - First + 2) ÷ 2
N = (1970 - 2 + 2) ÷ 2
N = 1970 ÷ 2
N = 985
Even numbers between 1 and 1972 = 985


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