It possess the ability to make any number that multiplies with it looks special.

**Example**: 123 x 1001

Answer becomes 123123.

Look at the pattern.

*The original number 123 repeats itself !*

This property of number 1001 can be used to do maths trick.

We know that 1001 can be splitted into its prime number 7, 11, and 13.

With this knowledge,

- we can ask someone to come out with a 3-digit number (e.g. 135),

- ask him to repeat the number beside the original (135135)

- ask him to divide the number by 13,

- ask him to divide it again by 11, and lastly

- ask him to divide it by 7.

Without him telling you the answer,

**tell him your answer (135)**.

He will be very surprised!

You can customise the number of digits to other quantity also.

**Why does the trick works?**By repeating the number besides the original, we are actually doing a 1001 multiplication.

abc(1001) = abc (100 + 1) = abc000 + abc = abcabc.

And by doing a division of 13, followed by 11, and 7, we are trying to do a division of 1001.

Therefore abc (1001) / 1001 gives us back the original abc.

Simple maths operations and its number theory can create interesting games and tricks that looks challenging at first. But with creativity and a bit of thinking, the answer to the maths puzzles can be easily realized.

By the way, this 1001 can be taken as binary ! (Not wrong)

It can then be used for other trick.

How can the number 1001 be 9?

Answer:

*By changing its base from 2 to 10!*

Tricky? It is limited by our imagination.

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## 1 comment:

That is cool - I don't think I'd ever heard of that before but it is a great trick!

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