There are 33 numbers between 1 and 100 that are divisible by 3.
Understanding Divisibility by 3
A number is divisible by 3 if the sum of its digits is divisible by 3. For example:
- 99: 9 + 9 = 18, and 18 is divisible by 3, so 99 is divisible by 3.
- 27: 2 + 7 = 9, and 9 is divisible by 3, so 27 is divisible by 3.
- 14: 1 + 4 = 5, and 5 is not divisible by 3, so 14 is not divisible by 3.
Calculating the Number of Multiples of 3
To find out how many numbers below 100 are divisible by 3, we can perform a simple calculation:
- Divide 100 by 3: 100 / 3 = 33.333...
- Round down to the nearest whole number: This gives us 33.
This means there are 33 multiples of 3 between 1 and 100 (inclusive).
List of Numbers Divisible by 3 Below 100
A partial list of these numbers is: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99. (Source: https://math.answers.com/basic-math/List_of_numbers_divisible_by_3_under_100)
Conclusion
As confirmed by multiple sources, including the provided references, there are 33 numbers below 100 that are divisible by 3.
