What is the prime factorization of 180?

My answer

2 x 2 x 3 x 3 x 5

Am I right?

Correct.

Thanks

You're welcome, Mae.

Yes, you are correct! The prime factorization of 180 is indeed 2 x 2 x 3 x 3 x 5.

To determine the prime factorization of a number, you need to divide it by prime numbers until you cannot divide any further.

In the case of 180, you can start by dividing it by the smallest prime number, which is 2. Since 180 is divisible by 2 without a remainder (180 ÷ 2 = 90), you can write it as 2 x 90.

Next, you continue dividing 90 by 2 until you cannot divide any further. 90 ÷ 2 = 45, which means 90 can be written as 2 x 2 x 45.

Now, you move on to the next prime number, which is 3. Dividing 45 by 3 gives you 15 (45 ÷ 3 = 15), so you can rewrite the factorization as 2 x 2 x 3 x 15.

Next, you divide 15 by 3 until you cannot divide it anymore. 15 ÷ 3 = 5, so now the prime factorization becomes 2 x 2 x 3 x 3 x 5.

Finally, since 5 is a prime number and cannot be divided any further, the prime factorization of 180 is indeed 2 x 2 x 3 x 3 x 5.