Respuesta :

Answer:

[tex] {2}^{4} \times {3}^{3} [/tex]

Step-by-step explanation:

[tex]432 = 2 \times 216 \\ = 2 \times 2 \times 108 \\ = 2 \times 2 \times 2 \times 54 \\ = 2 \times 2 \times 2 \times 2 \times 27 \\ = 2 \times 2 \times 2 \times 2 \times 3 \times 9 \\ = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \\ = {2}^{4} \times {3}^{3} [/tex]

Answer:

2x2x2x2x3x3

Step-by-step explanation:

A number can be expressed as UNIQUE product of prime numbers. Because of this property, you just need to divide that number (432) with smallest possible prime repeatedly, until that number goes to 1.

432 can be divided by 2, which also a smallest prime

432 / 2 = 216

216 / 2 = 108

108 / 2 = 54

54 / 2 = 27

27 cannot be divided by 2, so we'll choose the next prime (3)

27 / 3 = 9

9 / 3 = 3

3 / 3 = 1

As we can see, our number became 1, so we stop here

And our anwser is 2x2x2x2x3x3

TADAAA!!!! hope you enjoyed it.