My Mind Reading Power

[Hymie]

Think of any 3 digit number and let me guess the number.

Enter the 3 digit number into a calculator and to assist my mind reading power, repeat the 3 digits in the calculator display - e.g. if your number was 745, then the calculator display will read 745745.

Now let me use my mind reading power to guess the number you thought of.
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OK, I think I’ve got the number you thought of.

If I’m correct, if you divide the number in the calculator display by 13, you will have an integer value (a whole number) displayed.

Now divide that number by 7, and again – if I’m right you will again have an integer number displayed on the calculator.

Now divide that number by 11 – and if I guessed correctly, that is the number you first thought of.

[JimF]

That's just basic maths!

Any number entered consecutively into a calculator and then divided by 1n1 where n is the number of digits in the original number minus 1 rendered as zeroes.

123123 / 1001 = 123
12341234 / 10001 = 1234
1234512345 / 100001 = 12345

Etc

[THECORBYLOON]

13 × 7 × 11 = 1,001

(1)abc × 1,000 = abc,000
(2)abc × 1 = abc
(3)(1) + (2) = abc,abc

where abc is a three-digit number.