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.
Answer
The prime factorization of 24 is $2^3 \times 3^1$.
Answer for screen readers
The prime factorization of 24 is $2^3 \times 3^1$.
Steps to Solve
-
Identify the smallest prime number
Start with the smallest prime number, which is 2. Check if 2 can divide 24 without leaving a remainder. -
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. -
Continue factoring
Next, take 12. Again, divide it by 2:
$$12 \div 2 = 6$$
So now we have $24 = 2 \times 2 \times 6$. -
Factor the next number
Now take 6 and divide by 2 again:
$$6 \div 2 = 3$$
So we continue to factor:
$$24 = 2 \times 2 \times 2 \times 3$$ -
Express as prime factors
Now we can write 24 as a product of prime factors:
$$24 = 2^3 \times 3^1$$ -
Write the final answer
Ensure to present the complete factorization clearly.
The prime factorization of 24 is $2^3 \times 3^1$.
More Information
Prime factorization is a way of expressing a number as the product of its prime factors. Recognizing the prime numbers helps in various areas of mathematics, including number theory and arithmetic.
Tips
- Confusing composite numbers with prime numbers: Always ensure you are dividing by prime numbers.
- Forgetting to continue factoring down to prime numbers: Keep dividing until all factors are prime.
