Question

What is the prime factorization of 180 in expanded form?

Answer 1

Answer:

$180= 2\times 2\times 5\times 3\times 3$.

Step-by-step 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.

$180=2\times 90\rightarrow 2\times 10\times 9\\\rightarrow 2\times 2\times 5\times 3\times 3$

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

Answer 2

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.