The digits of this six digit number N are A,B,C,D,E,F in some order.

Given that :
DEF/ABC is an integer number
and
N=ABC*DEF

find all possible values of N.

Given the title, with the digits being distinct, i.e., no duplicate digits, I found only one solution:
N = ABC*DEF = 435*870 = 378450 ; DEF/ABC = 870/435 = 2

I found two other solutions where the digits may be duplicated:
N = ABC*DEF = 216*864 = 186624 ; DEF/ABC = 864/216 = 4
N = ABC*DEF = 270*810 = 218700 ; DEF/ABC = 810/270 = 3

Edited on February 10, 2018, 9:10 am

Posted by Dej Mar on 2018-02-10 09:05:39