Question

3. A six digit number is formed by
repeating a three digit number;
for example, 256, 256 or 678,
678 etc. Any number of this
form is always exactly divisible
by :​

Answer 1

Step-by-step explanation:

Let the six digit number be (xyz , xyz)

Now

The number with place values =>

= (xyz , xyz) is number

⇒ 100000x + 10000y + 1000z + 100x + 10y + z

⇒ 1001 (100x + 10y + z)

Since 1001 has factors i.e.

7, 11 and 13

So, the answer is 1001

Answer 2

Step-by-step explanation:

Let the six digit number be (xyz , xyz)

Now

The number with place values =>

= (xyz , xyz) is number

⇒ 100000x + 10000y + 1000z + 100x + 10y + z

⇒ 1001 (100x + 10y + z)

Since 1001 has factors i.e.

7, 11 and 13

So, the answer is 1001

Thanks!!!!