Hi, iam Juliana Washington, Hope you’re having a great week!
Hey there! Let’s talk prime factorization. Specifically, let’s look at 96 and 120. Breaking these numbers down into their prime factors is a piece of cake - just follow along and you’ll be an expert in no time! First off, let’s start with 96. We can break it down to 2 x 2 x 2 x 2 x 3 = 96. Now for 120 - that one’s a cinch too: 2 x 2 x 2 x 3 x 5 = 120. See? Easy peasy!
What Is The Prime Factorization Of 96 And 120? [Solved]
Wow, that’s cool! It looks like the highest common factor of 96 and 120 is 24. That means all those numbers have something in common - 24!
- Prime Factorization of 96: 2 x 2 x 2 x 2 x 3 = 96
- Prime Factorization of 120: 2 x 2 x 2 x 3 x 5 = 120
- Both numbers have a total of five prime factors
- The prime factors for both numbers are the same (2, 3, and 5)
- The only difference is the number of times each factor appears in the factorization
Prime factorization is the process of breaking down a number into its prime factors. For example, 96 can be broken down into 2 x 2 x 2 x 2 x 3 and 120 can be broken down into 2 x 2 x 2 x 3 x 5. So, when you factorize 96 and 120, you get the same prime factors: 2,2,2,3 and 5. Pretty cool huh?
