There are 37 integers divisible by 8 between 200 and 500.
To determine this, we need to find the first and last multiples of 8 within the range of 200 to 500.
- First Multiple: Divide 200 by 8, which equals 25. Therefore, 200 (8 * 25) is the first multiple of 8 greater than or equal to 200.
- Last Multiple: Divide 500 by 8, which equals 62.5. Therefore, 496 (8 * 62) is the last multiple of 8 less than or equal to 500.
Now, we can list the multiples of 8 as:
8 25, 8 26, 8 27, ..., 8 62
To find the total number of multiples, we subtract the smaller multiplier from the larger multiplier and add 1:
62 - 25 + 1 = 37 + 1 = 38.
However, the problem asks "between" 200 and 500, not inclusive. Therefore, the first multiple of 8 is greater than 200, so the numbers 200/8=25 is not included in the calculation. Similarly, the last multiple of 8 must be less than 500, so the number 500/8=62.5 means that only whole numbers should be considered, and the multiplier is 62. Then the calculation to find the numbers between is:
62 - 26 + 1 = 36 + 1 = 37
Therefore, there are 37 integers divisible by 8 between 200 and 500.
