Tuesday, 23 October 2012

2n digit number

i) Consider a 4 digit number abcd. Will there exist a 'k' such that
abcd = k*ab*cd
If so, find the k and abcd?
ii) Now, consider a 6 digit number abcdef. Will there exist a 'k' such that 
abcdef = k*abc*def
If so, find the k and abcdef?
iii) Using these 2 results, what can you conclude about a existence of a 'k' for a generic 2n digit number?