The largest five-digit number divisible by 113 is 99892.
Finding the Largest Five-Digit Number Divisible by 113
This question asks for the greatest number with five digits that can be divided by 113 without any remainder. Here's a breakdown:
- Largest Five-Digit Number: The largest five-digit number is 99999.
- Division: To find the required number, we'd ideally divide 99999 by 113 and observe the quotient and the remainder.
- Calculation: Performing the division, 99999 divided by 113 results in a quotient of 884 with a remainder of 107.
- Subtraction: This means that if we subtract the remainder (107) from 99999, we will get a number that is divisible by 113. Therefore, 99999 - 107 = 99892.
- Verification: 99892 / 113 = 884, which is a whole number, confirming that 99892 is divisible by 113.
As stated in the reference provided, the largest 5-digit number divisible by 113 is indeed 99892. This is often also called the last 5-digit number divisible by 113 or the greatest 5-digit number divisible by 113.
Summary
| Feature | Value |
|---|---|
| Largest 5-digit Number | 99999 |
| Divisor | 113 |
| Largest 5-digit Multiple of 113 | 99892 |
