Question

descompuneti in factori primi numarul:
a)36 b)80 c)100 d)136  e)240

Answer 1

Răspuns:

$\red{\bf a)~~36 = 2^{2} \cdot 3^{2} }$

$\blue{\bf b)~~80 = 2^{4} \cdot 5 }$

$\purple{\bf c)~~100 = 2^{2} \cdot 5^{2} }$

$\pink{\bf d)~~136 = 2^{3} \cdot 17 }$

$\green{\bf e)~~240 = 2^{2} \cdot 3\cdot 5 }$

Explicație pas cu pas:

✳️Numerele prime sunt acele numere care au exact doi divizori, numărul 1 și numărul în cauză

Câteva numere prime: 2, 3, 5, 7, 11, 13, 17, 19, 23, etc. ......

a)

$\bf 36~\big|~2\\18~\big|~2\\~~~9~\big|~3\\~~~3~\big|~3\\~\underline{~~1~\big|~1~}$   ⇒ 36 = 2² × 3²

$\it ~$

b)

$\bf 80~\big|~2\\40~\big|~2\\~20~\big|~2\\~10~\big|~2\\~~~5~\big|~5\\~\underline{~~1~\big|~1~}$   ⇒ 80 = 2⁴ × 5

$\it ~$

c)

$\bf100~\big|~2\\~~~50~\big|~2\\~~~25~\big|~5\\~~~~~5~\big|~5\\~~~\underline{~~1~\big|~1~}$   ⇒ 100 = 2² × 5²

$\it ~$

d)

$\bf 136~\big|~2\\~~~68~\big|~2\\~~~34~\big|~2\\~~~\;17~\big|~17\\~~~\underline{~~1~\big|~1~}$  ⇒ 136 = 2³ × 17

$\it ~$

e)

$\bf 240~\big|~2\\~120~\big|~2\\~~~60~\big|~2\\~~~30~\big|~2\\~~~15~\big|~3\\~~~~~5~\big|~5\\~~~\underline{~~1~\big|~1~}$    ⇒ 240 = 2⁴ × 3 × 5

==pav38=

Baftă multă !