20. Descompuneți, în produs de puteri de numere prime următoarele numere:
a) 36, 50, 84, 72, 100, 200, 700, 1300;
b) 1240, 2070, 196000, 2340, 2890, 3500, 1890, 1500.
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Răspuns:
a) 36=2²×3²
50=5²×2¹
84=2²×3¹×7¹
72=2³×3²
100=2²×5²
200=2³×5²
700=2²×5²×7¹
1300=2²×5²×13¹
b) 1240=2³×5×31¹
2070=2¹× 5¹×3²×23¹
196000=2 la puterea a 5 a ×5³×7²
2340=2²×5×3²×13¹
2890=2¹×5¹×17²
3500=2²×5³×7
1890=2¹×5¹×3³×7
1500=2²×5³×3¹