is this the prime factorization of 24: 2^3 x 3^1

YES, that is correct

ok. thank u

Yes, the prime factorization of 24 is indeed 2^3 x 3^1. To find the prime factorization of a number, you need to break it down into its prime factors.

In this case, you start by dividing the number by the smallest prime number, which is 2. If the number is divisible by 2, you continue dividing it by 2 until it is no longer divisible. In the case of 24, it is divisible by 2 three times: 24 ÷ 2 = 12, 12 ÷ 2 = 6, and 6 ÷ 2 = 3.

The next prime number is 3. You divide the remaining number, which in this case is 3, by 3 once: 3 ÷ 3 = 1.

At this point, you've reached the end of the division process, and the prime factors you obtained along the way are multiplied together. Therefore, the prime factorization of 24 is 2^3 x 3^1, meaning that 2 is raised to the power of 3 and 3 is raised to the power of 1.