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Mental Arithmetic Magic Tricks

While working on a section of the divisibility of a website, through some interesting facts about the numbers, to someone who knows nothing about these things, it seems like magic mental arithmetic.

If I do not know, the divisibility of a number refers to whether a numbers can be evenly divided among themselves. For example, 24 is divisible by 2, but 13 not leaving a trace.

Here are some magic tricks arithmetic I've found that mental can use to impress your friends, your colleagues, your teachers. . .

1. if a number is divisible by 3 then so are numbers on the basis of mixing the original digits. For example, consider that 123 is divisible by 3. Then 132, 213, 231, 312 and 321 (obtained by mixing the digits 1, 2 and 3 which comprise 123) are divisible by 3. This is called a permutation of the digits of a number. Check it out for yourself!

2. to compensate for a number that is divisible by 4, are a numberr and label in any 2-digit number divisible by 4. For example, I do the number 111111111, and now I tag 16 (which is divisible by 4) at the end to get 11,111,111,116. This number is divisible by 4. Check it out!

A trick interesting result of it. The following numbers are divisible by 4: 116, 1116, 11 116, 111 116, and so on. . . Not what you would expect!

3. if a number is divisible by 6, then any permutation of its digits will give a new number divisible by the time the last digit 6 is even. For example, 1272 is divisible by 6. The permutations of its digits, keeping the last digit, even gives me 2172, 2712, 1722, 7122, 7212, that are divisible by 6. Check yourself!

4. to compensate for a number that is divisible by 8, the process is similar to point 2. above. Make up a number and a label in any number 3 digits divisible by 8. For example, I make the number 777 777, and now I tag 016 (which is divisible by 8) at the end to get 777 777 016. This number is divisible by 8. Check it out!

Another trick is a consequence of it. The following numbers are divisible by 8: 7016, 77 016, 777 016, and so on. . . Again, not what you would expect!

5. if a number is divisible by nine then so are the numbers on the basis of mixing digits original. For example, consider that 189 is divisible by 9. Then so are 198, 819, 891, 918 and 981. Check it out!

6. if a number is divisible by 11, then the odd permutations of its digits and / or its digits, even give it a new number is also divisible by 11. For example, consider the 154 which is divisible by 11. Then so is 451 (obtained through the exchange of their first and third digits). Another example, consider that 1122 is divisible by 11. Then so is 1221 (obtained through the exchange of their second and fourth digits). Check it out!

7. whether a number is divisible by 12, then any permutations of its digits (except the last 2) will give new figures also divisible by 12. For example, 14 652 is divisible by 12. Then so are 16 452, 41 652, 46 152, 61 452 and 64 152. Check it out!

You have to agree that those are like magic tricks you can do arithmetic in his head. Hence the title of this article will magical mental arithmetic. In case you are wondering "why is that?" The answer is the test determines whether a number is divided by another.

About the Author

S M Botans is the CEO of
Mental Workout
and has 13 years experience teaching Maths, Science and Physics.

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