Question

When a six digit number is formed by writing a three digit number side by side ,then that number is always a multiple of ……….

Answer 1

Answer:

Yes… It always happens. Your result after all division is completed will always be the three digit number you started with.

Step-by-step explanation:

Let's construct a three-digit number where:

a is the hundreds digit

b is the tens digit

c is the units digit

So, that would be:

100a+10b+c

Now let's multiply that by 1000, and then add the original number back in.

1000(100a+10b+c)=

→100000a+10000b+1000c

1000(100a+10b+c)+100a+10b+c=

→100100a+10010b+1001c

Or more simply represented:

a00a00+b00b0+c00c=abcabc

So when you've arranged the number like this, it is the same as multiplying it by 1001 .

7×11×13=1001

1001x1001=x