The palindromic numbers between 1 and 360 are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353.
Here's a breakdown:
- Palindromic Numbers Defined: A palindromic number is a number that remains the same when its digits are reversed.
- Single-Digit Numbers: All single-digit numbers (1-9) are palindromes, as they read the same forwards and backward.
- Two-Digit Numbers: Two-digit palindromes have the same digit repeated (11, 22, 33, ..., 99).
- Three-Digit Numbers: Three-digit palindromes have the form ABA, where A and B are digits.
- Identifying Palindromes: To find palindromic numbers, it's easier to check for palindromic patterns instead of checking every single number from 1 to 360.
Below is a table summarizing the palindromic numbers between 1 and 360:
| Type | Palindromic Numbers |
|---|---|
| Single-Digit | 1, 2, 3, 4, 5, 6, 7, 8, 9 |
| Two-Digit | 11, 22, 33, 44, 55, 66, 77, 88, 99 |
| Three-Digit | 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353 |
The reference provided a similar list, but this list is exhaustive, and only includes numbers between 1 and 360.
