let the 3 digits be x, y, and z
your condition:
100x + 10y + z = 4xyz
4xyz - z = 100x + 10y
z(4xy - 1) = 100x + 10y
z = (100x + 10y)/(4xy - 1) = 10(10x + y)/(4xy - 1)
I then made up this little computer program in GW-BASIC, a computer language form the 80's, that still works so well
10 for x = 1 to 9
20 for y = 0 to 9
30 for z = 0 to 9
40 if (100*x + 10*y + z) = 4*x*y*z then print x;y;z
50 next z
60 next y
70 next x
and I got 384
check:
4(3)(8)(4) = 384
May someone please help me with this question? What is the positive three-digit integer that is four times the product of its digits? If anyone knows, then please, help. Thank you very much!
1 answer