The prime factors of 24 are

• A. 2 × 3 × 4
• B. 2 × 2 × 2 × 3
• C. 6 × 4
• D. 8 × 3

The prime factors of a number are the prime numbers that multiply together to give that number. For 24, we can break it down into its prime factors.

Finding the Prime Factors of 24

To find the prime factors of 24, we can divide it by the smallest prime number, which is 2:

• 24 ÷ 2 = 12
• 12 ÷ 2 = 6
• 6 ÷ 2 = 3
• 3 is a prime number.

So, we can express 24 as:

Prime Factorization

24 = 2 × 2 × 2 × 3

This can also be written as:

• 2³ × 3

Evaluating the Options

Now, let's look at the options provided:

• A. 2 × 3 × 4 - Not all factors are prime.
• B. 2 × 2 × 2 × 3 - This is correct.
• C. 6 × 4 - Not all factors are prime.
• D. 8 × 3 - Not all factors are prime.

The correct answer is B. 2 × 2 × 2 × 3.