How Many Integers Between 100 and 1000 Are Divisible by 7?
There are 128 integers between 100 and 1000 that are divisible by 7.
Multiple sources confirm this answer. The calculation involves finding the first and last multiples of 7 within the range and then determining the number of multiples between them.
- Finding the first multiple: The smallest multiple of 7 greater than 100 is 105 (7 x 15).
- Finding the last multiple: The largest multiple of 7 less than 1000 is 994 (7 x 142).
- Calculating the total: The number of multiples is found by subtracting the first multiple's index from the last multiple's index and adding 1: (142 - 15) + 1 = 128.
Therefore, there are 128 integers between 100 and 1000 divisible by 7. This result is consistently reported across various online resources and mathematical calculations.
