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rd. 17. Show that every decimal palindromic integer with an even number of digits is divisible by 11.

rd. 17. Show that every decimal palindromic integer with an even number of digits is divisible by 11.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Secton 5.1 Excerciser # 17

18. Show that every base 7 palindromic integer with an even number of digits is divisible by 8. 443,692 and 11,092,785 for divisibility by 37. 17. Show that every decimal palindromic integer with an even number of digits is divisible 19. Develop a test for divisibility by 37, based on the fact that 10' =1 (mod 37). Use this to check A base b palindromic integer is an integer whose base b representation reads the same forward and backward. b that every decimal palindromic integer with an even number of digits is divisible
Transcribed Image Text:18. Show that every base 7 palindromic integer with an even number of digits is divisible by 8. 443,692 and 11,092,785 for divisibility by 37. 17. Show that every decimal palindromic integer with an even number of digits is divisible 19. Develop a test for divisibility by 37, based on the fact that 10' =1 (mod 37). Use this to check A base b palindromic integer is an integer whose base b representation reads the same forward and backward. b that every decimal palindromic integer with an even number of digits is divisible
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