Question

Express 432 as a product
of prime numbers ​

Answer 1

`{2}^(4) * {3}^(3)`

Explanation:

`432 = 2 * 216 \\ = 2 * 2 * 108 \\ = 2 * 2 * 2 * 54 \\ = 2 * 2 * 2 * 2 * 27 \\ = 2 * 2 * 2 * 2 * 3 * 9 \\ = 2 * 2 * 2 * 2 * 3 * 3 * 3 \\ = {2}^(4) * {3}^(3)`

Answer 2

2x2x2x2x3x3

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.