There are 225 three-digit natural numbers divisible by 4.
Understanding the Solution
The provided references consistently state that there are 225 three-digit numbers divisible by 4. This is because:
- Divisibility Rule: A number is divisible by 4 if its last two digits form a number divisible by 4.
- Three-Digit Range: Three-digit numbers range from 100 to 999.
- Calculation: While the exact calculation method isn't explicitly detailed in all references, the common answer points to a straightforward approach involving identifying the first and last three-digit numbers divisible by 4 (100 and 996, respectively), and then determining the number of multiples within this range.
The references highlight different approaches to solving similar problems, often involving arithmetic progressions. However, the core answer to this specific question remains consistent.
Examples
- 100 is divisible by 4 (100/4 = 25).
- 996 is divisible by 4 (996/4 = 249).
- The numbers between 100 and 996 which are divisible by 4 follow an arithmetic progression with a common difference of 4.
