Lee Hom - Heartbeat

Thursday, August 12, 2004

Trivial knowledge...(3)

Digit from 1 to 9, when arranged together (in any sequence) to form a number, this number can be divided by 3. Each number can only appear for one time. Possible numbers are like:

123456789
987654321
412387596
984751362
etc...

These numbers can be divided by 3.

Let's try and see:
123456789 / 3 = 41152263 (divisible by 3)
987654321 / 3 = 329218107 (divisible by 3)
412387596 / 3 = 137462532 (divisible by 3)
984751362 / 3 = 328250454 (divisible by 3)

Reason
A number can be divided by 3 when the digits, added together, is a multiple of 3. For the above example, the added digits yield 45, which is a multiple of 3.

source : トリビアの泉

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