what is the correct prime factorization of 120?
i need help or Daddy gonna be MAD!!
2^3 * 3 * 5
thank you
To find the prime factorization of a number, such as 120, you need to break it down into its prime factors.
Let's start by dividing 120 by the smallest prime number, which is 2.
120 ÷ 2 = 60
Since 60 is still divisible by 2, we divide it again:
60 ÷ 2 = 30
30 is also divisible by 2, so we divide once more:
30 ÷ 2 = 15
Now, 15 cannot be divided by 2 anymore, so we move on to the next prime number, which is 3:
15 ÷ 3 = 5
At this point, we have reached a prime number, which means we have found the prime factorization of 120:
2 × 2 × 2 × 3 × 5 = 120
So, the correct prime factorization of 120 is 2^3 × 3 × 5, where the exponent denotes how many times the prime number is multiplied.
Please note that it's always a good idea to double-check your work, especially if your Daddy wants to make sure you got the correct answer!