There are 50 even integers between 1 and 100.
The even numbers are integers that are exactly divisible by 2. To find out how many even numbers exist between 1 and 100, we can analyze the sequence of integers:
- The first even number in this range is 2.
- The last even number in this range is 100.
- The even numbers form an arithmetic sequence: 2, 4, 6, 8, ... , 100.
There's a simple way to find the number of even integers in this range:
-
Divide the largest even number by 2: 100 / 2 = 50.
Alternatively, since every other integer is even, we can observe the numbers between 1 and 100:
- Half the numbers should be even and the other half will be odd.
- Because there are 100 integers in total and half of the total are even numbers, we divide 100 by 2.
100 / 2 = 50.
Therefore, based on the reference, there are 50 even integers between 1 and 100.
| Starting Number | Ending Number | Count of Even Numbers |
|---|---|---|
| 1 | 100 | 50 |
