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9. Descompuneți în factori primi numărul: a) 36; b) 80; c) 100; d) 136; e) 240​

Răspuns :

Răspuns:

36=2×2×3×3

80=2×2×2×2×5

100=2×2×5×5

136=2×2×2×17

240=2×2×2×2×3×5

Explicație pas cu pas:

Sper ca te-am ajutat! ✨ ✨ ✨

Răspuns:

Explicație pas cu pas:

[tex]\bf 36~\big|~2\\18~\big|~2\\~~~9~\big|~3\\~~~3~\big|~3\\~~~1~\big|~1\\[/tex]  ⇒ 36 = 2² × 3²

[tex]\bf 80~\big|~2\\40~\big|~2\\~20~\big|~2\\~10~\big|~2\\~~~5~\big|~5\\~~~1~\big|~1\\[/tex]  ⇒ 80 = 2⁴ × 5

[tex]\bf100~\big|~2\\~~~50~\big|~2\\~~~25~\big|~5\\~~~~~5~\big|~5\\~~~~~1~\big|~1\\[/tex]  ⇒ 100 = 2² × 5²

[tex]\bf 136~\big|~2\\~~~68~\big|~2\\~~~34~\big|~2\\~~~17~\big|~17\\~~~~~1~\big|~1\\[/tex]  ⇒ 136 = 2³ × 17

[tex]\bf 240~\big|~2\\~120~\big|~2\\~~~60~\big|~2\\~~~30~\big|~2\\~~~15~\big|~3\\~~~~~5~\big|~5\\~~~~~1~\big|~1\\[/tex]   ⇒ 240 = 2⁴ × 3 × 5

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