Question

2. Escribe la factorización prima de los siguientes números. a) 20 = 2 x 2 x 5 g) 120 = b) 28 = h) 100 = c) 32 = i) 64 = d) 60 = j) 40 = e) 48 = k) 80 = f) 75 = 1) 250 =​

Answer 1

Respuesta:

[tex]a)20 = \\ 20 \div 2 \\ 10 \div 2 \\ 5 \div 5 \\ 1 \\ g)120 \div 2 \\ 60 \div 2 \\ 30 \div 2 \\ 15 \div 3 \\ 5 \div 5 \\ 1 \\ 120 = {2}^{3} \times 3 \times 5[/tex]

Explicación paso a paso:

[tex]28 \div 2 \\ 14 \div 2 \\ 7 \div 7 \\ 1 \\ 28 = {2}^{2} \times 7[/tex]

[tex]100 \div 2 \\ 50 \div 2 \\ 25 \div 5 \\ 5 \div 5 \\ 1 \\ 100 = {2}^{2} \times {5}^{2} [/tex]

[tex]32 \div 2 \\ 16 \div 2 \\ 8 \div 2 \\ 4 \div 2 \\ 2 \div 2 \\ 1 \\ 32 = {2}^{5} [/tex]

[tex]64 \div 2 \\ 32 \div 2 \\ 16 \div 2 \\ 8 \div 2 \\ 4 \div 2 \\ 2 \div 2 \\ 1 \\ 64 = {2}^{6} [/tex]

[tex]60 \div 2 \\ 30 \div 2 \\ 15 \div 3 \\ 5 \div 5 \\ 1 \\ 60 = {2}^{2} \times 3 \times 5[/tex]

[tex]40 \div 2 \\ 20 \div 2 \\ 10 \div 2 \\ 5 \div 5 \\ 1 \\ 40 = {2}^{3} \times 5[/tex]

[tex]48 \div 2 \\ 24 \div 2 \\ 12 \div 2 \\ 6 \div 2 \\ 3 \div 3 \\ 1 \\ 48 = {2}^{4} \times 3[/tex]

[tex]80 \div 2 \\ 40 \div 2 \\ 20 \div 2 \\ 10 \div 2 \\ 5 \div 5 \\ 1 \\ 80 = {2}^{3} \times 5[/tex]

[tex]75 \div 3 \\ 25 \div 5 \\ 5 \div 5 \\ 1 \\ 75 = 3 \times {5}^{2} [/tex]

[tex]250 \div 2 \\ 125 \div 5 \\ 25 \div 5 \\ 5 \div 5 \\ 1 \\ 250 = {5}^{3} \times 2[/tex]

espero te sirva