# Write the prime factorization of 24.

#### Understand the Problem

The question is asking for the prime factorization of the number 24. This means we need to express 24 as a product of its prime numbers.

The prime factorization of 24 is $2^3 \times 3^1$.

The prime factorization of 24 is $2^3 \times 3^1$.

#### Steps to Solve

1. Identify the smallest prime number
Start with the smallest prime number, which is 2. Check if 2 can divide 24 without leaving a remainder.

2. Divide by the smallest prime
Since $24 \div 2 = 12$, we can say that 24 can be expressed as $2 \times 12$. Now, we need to factor 12.

3. Continue factoring
Next, take 12. Again, divide it by 2:
$$12 \div 2 = 6$$
So now we have $24 = 2 \times 2 \times 6$.

4. Factor the next number
Now take 6 and divide by 2 again:
$$6 \div 2 = 3$$
So we continue to factor:
$$24 = 2 \times 2 \times 2 \times 3$$

5. Express as prime factors
Now we can write 24 as a product of prime factors:
$$24 = 2^3 \times 3^1$$

Ensure to present the complete factorization clearly.

The prime factorization of 24 is $2^3 \times 3^1$.