There are 13 natural numbers between 23 and 100 that are exactly divisible by 6.
Let's break down how to find this answer:
Finding the First Multiple
The first multiple of 6 greater than 23 is 24 (6 x 4).
Finding the Last Multiple
The last multiple of 6 less than 100 is 96 (6 x 16).
Listing the Multiples
The multiples of 6 between 24 and 96, inclusive, are:
- 24 (6 x 4)
- 30 (6 x 5)
- 36 (6 x 6)
- 42 (6 x 7)
- 48 (6 x 8)
- 54 (6 x 9)
- 60 (6 x 10)
- 66 (6 x 11)
- 72 (6 x 12)
- 78 (6 x 13)
- 84 (6 x 14)
- 90 (6 x 15)
- 96 (6 x 16)
Calculation
We can also calculate the number of multiples using the following steps:
- Divide the first multiple by 6: 24 / 6 = 4
- Divide the last multiple by 6: 96 / 6 = 16
- Subtract the smaller quotient from the larger one and add 1: 16 - 4 + 1 = 13
Conclusion
Therefore, based on the provided reference and our calculation, there are 13 natural numbers between 23 and 100 that are exactly divisible by 6.
