Question

urgent varoooog! tema nr 17 varoog frumos!!!

Answer 1

$A=\left\{x\:\in\:\mathbb{Z}\:|\:6\:\:\:\vdots \:\:\:x\right\}$

$6 \: \: \: \vdots \: \: \: x = > x \: \in \: D_{6}$

$D_{6} = \left\{\pm1,\pm2,\pm3,\pm6\right\}$

$x \: \in \:\left\{\pm1,\pm2,\pm3,\pm6\right\}$

$A=\left\{\pm1,\pm2,\pm3,\pm6\right\}$

$B=\left\{y\:\in\:\mathbb{Z}\:|\:108\:\:\:\vdots \:\:\:y \: \: \: ,y\:\in\:A\right\}$

$108 \: \: \: \vdots \: \: \: y = > y \: \in \: D_{108}$

$D_{108}=\left\{\pm1,\pm2,\pm3,\pm4,\pm6,\pm9,\pm12,\pm18,\pm27,\pm36,\pm54,\pm108\right\}$

$y \: \in \: A = > y \: \in \: \left\{\pm1,\pm2,\pm3,\pm6\right\}$

$B=\left\{\pm1,\pm2,\pm3,\pm6\right\}$

$C=\left\{z\:\in\:\mathbb{Z}\:|\:-144\:\:\:\vdots \:\:\:z,z\:\in\:A\right\}$

$- 144 \: \: \: \vdots \: \: \: z = > z \: \in \: D_{-144}$

$D_{-144}=\left\{\pm1,\pm2,\pm3,\pm4,\pm6,\pm8,\pm9,\pm12,\pm16,\pm18,\pm24,\pm36,\pm48,\pm72, \pm144\right\}$

$z \: \in \: A = > z \: \in \: \left\{\pm1,\pm2,\pm3,\pm6\right\}$

$C=\left\{\pm1,\pm2,\pm3,\pm6\right\}$