Let
N denote an integer number such that:
I. N is a 3digit number abc.
ii. a,b,c are distinct nonzero decimal digits.
iii. The product a*b*c divides N.
List all possible values for (a,b,c) complying with the above conditions.
Call the divisor, d. d must be between 1 and 9, since abc/10 will be less than 100.
Then for:
d=4: 384=4*3*8*4
d=7: 735=7*7*3*5
d=8: 128=8*1*2*8, 672=8*6*7*2
d=9: 135=9*1*3*5, 144=9*1*4*4
**Ugh. Correction! d can be more than 10, so please ignore the above.**
Edited on January 15, 2015, 3:13 am

Posted by broll
on 20150114 18:29:21 