Monday, 17 July 2017

Number Theory | All 4 digit palindromic numbers are divisible by 11.

Let me suppose the number is "d1 d2 d2 d1" where d1 and d2 are digits which are used to make four digit palindrome number.

Number = 1000*d1+100*d2+10*d2+1*d1 = 1001*d1+110*d2 = 11(91*d1+10*d2).
As 11 is the factor of the number so it will be always divisible by 11.

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