Question

Sa se descompuna unrmatoarele numere: a\1792,1408,768,1536,5120,6656,2176.B \1701,31104,5832,3645,11664,7776,5184

Answer 1

1792|2
891 3
297. 3
99 3
33. 3
11. 11
1
1792=2×3⁴×11


1408. 2
704. 2
352. 2
176. 2
88. 2
44. 2
22. 2
11. 11
1
1408=2 la puterea7×11

768. 2
384. 2
192. 2
96. 2
48. 2
24. 2
12. 2
6. 2
3. 3
1
768=2 la luterea 8×3

1536. 2
768. 2
384. 2
192. 2
96. 2
48. 2
24. 2
12. 2
6. 2
3. 3
1
1536=2 la puterea 9×3

5120. 2
2560. 2
1280. 2
640. 2
320. 2
160. 2
80. 2
40. 2
20. 2
10. 2
5. 5
1
5120=2 la puterea 10 ×5

Answer 2

a) 1 792 : 2 = 896 : 2 = 448 : 2 = 224 : 2 = 112 : 2 = 56 : 2= 28 : 2 = 14 : 2 = 7

1 792 = 2^8 × 7

1 408: 2 = 704:2 = 352:2 = 176:2 = 88:2 = 44:2 = 22:2 = 11

1 408 = 2^7 × 11

768:2 = 384:2= 192:2 = 96:2 = 48:2 =24:2 = 12:2 = 6:2 = 3

768 = 2^8 × 3

1 536 = 2^9 × 3
5 120 = 2^10 × 5
6 656 = 2^9 × 13
2 176 = 2^7 × 17

b) 1 701 = 3^5 × 7
31 104 = 2^7 × 3^5
5 832 = 2^3 × 3^6
3 645 = 3^6 × 5
11 664 = 2^4 × 3^6
7 776 = 2^5 × 3^5
5 184 = 2^6 × 3^4