How Many Integers Are There Between 200 and 300 Which Are Divisible by 8?

There are 12 integers between 200 and 300 that are divisible by 8.

Finding the Solution

To determine the number of integers divisible by 8 between 200 and 300, we can follow these steps:

1. Find the smallest multiple: The smallest multiple of 8 greater than 200 is 208 (200/8 = 25, so 258 =200, but we need the next* multiple).

2. Find the largest multiple: The largest multiple of 8 less than 300 is 296 (300/8 = 37.5, so 37*8 = 296).

3. Calculate the difference: Subtract the smallest multiple from the largest multiple and add 1 (to include both endpoints): (296 - 208) / 8 + 1 = 12.

Alternatively, as noted in several provided sources, we can directly compute: 300/8 - 200/8 = 37.5 - 25 = 12.5, then round down to the nearest whole number. Since we are dealing with whole numbers, this reflects that there are 12 multiples of 8.

List of Integers

Here's the list of integers between 200 and 300 divisible by 8:

• 208
• 216
• 224
• 232
• 240
• 248
• 256
• 264
• 272
• 280
• 288
• 296

This confirms our calculation of 12 integers.