Palindromic Numbers and Prime Properties
Palindromic Numbers and Prime Properties
TGM Original Questions
A number is a palindrome if its digits are the same when written forward or backward. For example, the number \(8\), \(515\), \(13131\), \(307703\) are palindromes.
- Write down all one-digit, two-digit and three-digit palindromes which are prime numbers.
- Explain why all four-digit palindromes are composite numbers.
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Answer:(i) \(2,3,5,7,11,101,131,151,181,191,313,353,373,383,727,757,787,797,919,929\) (ii) All four-digit palindromes are divisible by \(11\)
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