Question Number 43395 by Tawa1 last updated on 10/Sep/18
Commented by MrW3 last updated on 10/Sep/18
$${e}.{g}. \\ $$$${M}={N}=\mathrm{999}.\overset{\_} {\mathrm{9}} \\ $$
Commented by Tawa1 last updated on 10/Sep/18
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$
Answered by ajfour last updated on 10/Sep/18
$$\mathrm{1000}×\mathrm{1000}\:=\:\mathrm{125}×\mathrm{8}×\mathrm{125}×\mathrm{8} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\left(\mathrm{125}\right)^{\mathrm{2}} ×\mathrm{64}\:=\:\mathrm{15625}×\mathrm{64} \\ $$$$\Rightarrow\:\left({M},\:{N}\right)\:\equiv\:\left(\mathrm{15625},\:\mathrm{64}\right)\:{or}\:\left(\mathrm{64},\:\mathrm{15625}\right). \\ $$
Commented by Tawa1 last updated on 10/Sep/18
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$