Mathematical Trivia for Today

8/05/2015

MATHEMATICAL TRIVIA FOR TODAY:

Nine-Digit Pan-Digital Numbers (contain the digits 1 through 9 one time each, but they do not contain a zero).

The list below shows the smallest and the largest 9-digit pan-digital number that are divisible by the numbers 2 through 16.

Divisor	Smallest	Largest
2	123,456,798	987,654,312
3	123,456,789	987,654,321
4	123,457,896	987,654,312
5	123,467,895	987,643,215
6	123,456,798	987,654,312
7	123,456,879	987,654,213
8	123,457,896	987,754,312
9	123,456,789	987,654,321
10	There are none.	There are non
11	123,475,869	987,652,413
12	123,457,896	987,654,312
13	123,456,879	987,654,213
14	123,457,698	987,653,142
15	123,467,895	987,643,215
16	123,457,968	987,654,312

Source:

“Problem Solving Through Recreational Mathematics” by Bonnie Averbach and Orin Chein.

David