Question

What is the prime factorization of 180 in expanded form?

Answer 1

180 divides into 90*2, 90 divides into 45*2, 45 divides into 5*9, and 9 divides into 3*3. So the prime factorization would be 5*2*2*3*3.

Answer 2

`180= 2* 2* 5* 3* 3`.

Explanation:

We are asked to find the prime factorization of 180 in expanded form.

We know that prime factorization is the process of finding factors of a number that are prime and by multiplying them we get our original number.

Let us find prime factors of 180.

`180=2* 90\rightarrow 2* 10* 9\\\rightarrow 2* 2* 5* 3* 3`

Since each factor is divisible by 1 or by the number itself, therefore, the prime factorization of 180 would be
`180= 2* 2* 5* 3* 3`.