Question

a six digit number of the form abcabc is always divisible by​

Answer 1

The six digit number abcabc can be written as

abcabc

=100000a+10000b+1000c+100a+10b+c

=100100a+10010b+1001c

=1001*100a+1001*10b+1001*c

=1001*(100a+10b+c)

=1001*(abc) which is a multiple of 1001

Hence the six digit number abcabc is divible by 1001