Question

determine a decomposição em fatores primos dos seguintes números:

A) 600

B) 102

C) 72​

Answer 1

Resposta:

600 | 2

300 | 2

150 | 2

75 | 3

25 | 5

5 | 5

1 = 2³× 3 × 5²

102 | 2

51 | 3

17 | 17

1 = 2 × 3 × 17

72 | 2

36 | 2

18 | 2

9 | 3

3 | 3

1 = 2³ × 3²

Answer 2

Explicação passo-a-passo:

a)

$\sf 600~~~|~~2$

$\sf 300~~~|~~2$

$\sf 150~~~|~~2$

$\sf ~75~~~~|~~3$

$\sf ~25~~~~|~~5$

$\sf ~~5~~~~~|~~5$

$\sf ~~1$

$\sf ~\Rightarrow~\red{600=2^3\cdot3\cdot5^2}$

b)

$\sf 102~~~|~~2$

$\sf ~51~~~~|~~3$

$\sf ~17~~~~|~~17$

$\sf ~~1$

$\sf ~\Rightarrow~\red{102=2\cdot3\cdot17}$

c)

$\sf ~72~~~|~~2$

$\sf ~36~~~|~~2$

$\sf ~18~~~|~~2$

$\sf ~~9~~~~|~~3$

$\sf ~~3~~~~|~~3$

$\sf ~~1$

$\sf ~\Rightarrow~\red{72=2^3\cdot3^2}$