The largest five-digit number divisible by 8 is 99,992.
Understanding Divisibility by 8
A number is divisible by 8 if its last three digits form a number divisible by 8. This is a useful rule for quickly checking divisibility without performing long division. For example, let's examine 99,992: the last three digits, 992, are divisible by 8 (992 รท 8 = 124). Therefore, 99,992 is divisible by 8.
Finding Five-Digit Numbers Divisible by 8
There are many five-digit numbers divisible by 8. To find them, you can start with the smallest five-digit number (10000) and incrementally check each number for divisibility by 8. Alternatively, you could start with the largest five-digit number (99999), divide it by 8, and find the largest whole number result which when multiplied by 8 yields a five-digit number.
- Smallest: The smallest five-digit number divisible by 8 is 10000 (because 10000/8 = 1250).
- Largest: The largest five-digit number divisible by 8 is 99992 (as 99999/8 leaves a remainder and 99992/8 = 12499).
- Total Count: There are 11250 five-digit numbers divisible by 8. (Source: https://divisible.info/5-digit-numbers-divisible-by/five-digit-numbers-divisible-by-8.html)
This information is supported by multiple sources, including Quora and various mathematical websites, confirming that 99,992 is the largest five-digit number divisible by 8. The divisibility rule for 8, based on the last three digits, provides a simple method for verifying this fact.
