Justin Whitehead whitej125

## gist:c2174f5c5f2e9872e5667d34a572ad17
>>> what 9 digit number is evenly divisible by 9, where the first 8 digits are evenly divisible by 8, the first 7 digits are evenly divisible by 7 and so on all the way down
<think>
Alright, let's tackle this problem step by step. I need to find a 9-digit number that meets specific divisibility criteria for its initial segments.

First, I'll denote the 9-digit number as **abcdefghi**, where each letter represents a digit.

1. **Divisibility by 9**: The entire number must be divisible by 9. A well-known rule for divisibility by 9 is that the sum of all digits should be divisible by 9.

2. **First 8 digits (abcd efgh)**: These need to form a number divisible by 8. For any number to be divisible by 8, its last three digits must be divisible by 8.
	>>> what 9 digit number is evenly divisible by 9, where the first 8 digits are evenly divisible by 8, the first 7 digits are evenly divisible by 7 and so on all the way down
	<think>
	Alright, let's tackle this problem step by step. I need to find a 9-digit number that meets specific divisibility criteria for its initial segments.

	First, I'll denote the 9-digit number as abcdefghi, where each letter represents a digit.

	1. Divisibility by 9: The entire number must be divisible by 9. A well-known rule for divisibility by 9 is that the sum of all digits should be divisible by 9.

	2. First 8 digits (abcd efgh): These need to form a number divisible by 8. For any number to be divisible by 8, its last three digits must be divisible by 8.