There are 18 numbers between 1000 and 5000 that are exactly divisible by 225.
According to the provided reference, the total number of numbers within this range that are divisible by 225 is 18. This can be determined by finding the first multiple of 225 greater than 1000 and the last multiple of 225 less than 5000, and then counting the number of multiples between them.
Here's a breakdown of how one might approach this calculation:
-
Finding the first multiple:
- Divide 1000 by 225, which gives approximately 4.44.
- Round up to the next whole number (5).
- Multiply 225 by 5, which gives 1125. This is the first multiple of 225 that is greater than 1000.
-
Finding the last multiple:
- Divide 5000 by 225, which gives approximately 22.22.
- Round down to the nearest whole number (22).
- Multiply 225 by 22, which gives 4950. This is the last multiple of 225 less than 5000.
-
Counting the multiples:
- We have the multiples: 225 5, 225 6, 225 7, ... , 225 22. To find the total count of these, we subtract the starting multiple number from the end and add one: 22 - 5 + 1 = 18.
Therefore, there are 18 numbers between 1000 and 5000 exactly divisible by 225.
