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Bo'linish belgilari, tub va murakkab sonlar bo‘yicha savol

48 sonining barcha natural bo'luvchilarini yozing.
  1. A. 1, 2, 3, 4, 6, 12, 16, 24, 48
  2. B. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 26
  3. C. 1, 2, 3, 4, 6, 8, 12, 16, 25, 48
  4. D. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Javob va yechimni ko‘rish

Javob: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

48 sonini tub ko‘paytuvchilarga ajratamiz: $48=2^{4}\cdot 3^{1}$. Har bir tub ko‘paytuvchi $2$ ning $0,1,2,3,4$ darajalaridan va $3$ ning $0,1$ darajalaridan tanlanadi, shuning uchun bo‘luvchilar soni $(4+1)(1+1)=10$ ta bo‘ladi. Bu darajalarni birma‑bir qo‘shib, barcha bo‘luvchilarni olishimiz mumkin: \[ \begin{aligned} 2^{0}\cdot3^{0}&=1,\\ 2^{1}\cdot3^{0}&=2,\\ 2^{2}\cdot3^{0}&=4,\\ 2^{3}\cdot3^{0}&=8,\\ 2^{4}\cdot3^{0}&=16,\\ 2^{0}\cdot3^{1}&=3,\\ 2^{1}\cdot3^{1}&=6,\\ 2^{2}\cdot3^{1}&=12,\\ 2^{3}\cdot3^{1}&=24,\\ 2^{4}\cdot3^{1}&=48. \end{aligned} \] Natijada 48 ning barcha natural bo‘luvchilari: $1,2,3,4,6,8,12,16,24,48$. Bu ro‘yx A javobiga mos keladi.

Mavzuni mustahkamlang

Bu savol Bo'linish belgilari, tub va murakkab sonlar mavzusiga tegishli. Ta’riflar, formulalar va misollarni mavzu sahifasida ko‘ring.

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