What is the prime factorization of 180 in expanded form?
180 divides into 902, 90 divides into 452, 45 divides into 59, and 9 divides into 33. So the prime factorization would be 52233.
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 \(180= 2\times 2\times 5\times 3\times 3\).