Bo'linuvchanlik. Sonning natural bo'luvchilar soni va yig'indisi bo‘yicha savol

144 sonining tub ko‘paytuvchisini topamiz: $144=2^{4}\cdot3^{2}$. Agar $n=p_{1}^{a_{1}}p_{2}^{a_{2}}\dots p_{k}^{a_{k}}$ bo‘lsa, uning natural bo‘luvchilari soni $\displaystyle (a_{1}+1)(a_{2}+1)\dots (a_{k}+1)$ ga teng. Shuning uchun $144$ uchun bo‘luvchilar soni \[ (4+1)(2+1)=5\cdot3=15. \] Demak, to‘g‘ri variant **A) 15**.