There are 76 numbers between 1 and 1000 that are divisible by 13.
To find the number of multiples of 13 between 1 and 1000, we need to determine the first and last multiples of 13 within that range and then count how many there are.
Here's the breakdown:
- The first multiple of 13 is 13 itself (1 x 13).
- We need to find the largest multiple of 13 that is less than 1000. We can determine this by dividing 1000 by 13:
1000 / 13 ≈ 76.92
This means the largest multiple of 13 less than 1000 is 76 x 13 = 988. - Therefore, we have multiples of 13 from 1 x 13 to 76 x 13.
This gives us a total of 76 numbers.
As stated in the provided reference, the first number divisible by 13 is 13 and the last one before 1000 is 988, where 13 = 1 x 13 and 988 = 76 x 13. Therefore, there are 76 such numbers between 1 and 1000.
