tobynwier
Answered

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Which expression shows the prime factorization of 180?



22 X 32 X 5


2 X 32 X 52


2 X 3 X 5


22 X 3 X 52

Sagot :

Answer:

1- 3520

2- 3328

3- 30

4- 3432

Step-by-step explanation:

Answer: Choice A)  2^2*3^2*5

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Explanation:

To find the prime factorization, we'll start by dividing 180 by the smallest prime number

Divide 180 by 2 to get 180/2 = 90

Divide that by 2 to get 90/2 = 45

Then note how 45/2 = 22.5 isn't a whole number, so that means we move onto the next prime number 3

45/3 = 15

15/3 = 5

The denominators we used, in order, were: 2, 2, 3, 3

This means that 2*2*3*3 is part of the factorization. We can condense that to 2^2*3^2

The last term 5 is the final missing piece of the factor puzzle

Meaning, 2^2*3^2*5 = 180

I recommend you use a calculator to confirm this.

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