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Show that if a palindrome is 4 digits, it would be divisible by 11?

Show that if a palindrome is 4 digits, it would be divisible by 11?

 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Let us assume abba is the four-digit palindrome.

So, abba = a x 1000 + b x 100 + b x 10 + a

= 1001a +110b

= 91 x 11a + 110b

= 11 x (91a + 10b)

Hence Proved.

Thanks

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