How many even numbers between 1 and 546?




How many even numbers between 1 and 546? You could just make a list of all the even numbers between 1 and 546 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 546.

We start by determining the first even number and last even number between 1 and 546. The numbers between 1 and 546 start with 2 and end with 545. That means that the first even number is 2 and the last even number is 544.

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 546?"

N = (Last - First + 2) ÷ 2
N = (544 - 2 + 2) ÷ 2
N = 544 ÷ 2
N = 272
Even numbers between 1 and 546 = 272


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