Question

If i multiply a three digit number xyz successively by 7 11 and 13, the answer is

Answer 1

1001xyz is the right answer

Answer 2

Answer:

If I multiply a three digit number xyz successively by 7 11 and 13, the answer is 1001 * ( xyz )

Step-by-step explanation:

Three digit number = xyz

We have to multiply the number successively by 7, 11 and 13

So firstly multiplying the number by 7

⇒ xyz * 7

= 7 ( xyz )

Now,

Multiplying the number by 11

⇒  ( xyz * 7 ) * 11

= xyz * 7 * 11

= xyz * 77

= 77 ( xyz )

Finally,

Multiplying the number answer by 13

⇒  ( xyz * 77 ) * 13

= xyz * 77 * 13

= xyz * 1001

= 1001 ( xyz )

So,

The number will always be divisible by 1001

Hence,

If I multiply a three digit number xyz successively by 7 11 and 13, the answer is 1001 * ( xyz )