- 11 is divisible by 11
- 111 is not divisible by 11
- 1111 is divisible by 11
- 11111 is not divisible by 11
- 111111 is divisible by 11
- 1111111 is not divisible by 11
- 11111111 is divisible by 11
- 111111111 is not divisible by 11
… … …
As an easy exercise, show that in the sequence 11, 111, 1111, 11111, . . . , first, third, . . . , etc. terms are divisible by 11 and second, fourth, . . . , etc. terms are not divisible by 11.

Very interesting sir.
Thank you Sir
37 itself is interesting, and so are 37037, 37037037, etc. for similar reasons.
These are in pipeline. Thank you for your suggestion.
Wow…like this we can create more square numbers!!
Thank you Sourav.
Wow! Next time around, it’s Math for me!
Good to hear this. Thank you so much.
There is definately a great deal to learn about this subject. I really like all the points you’ve made.
Thank You