The prime factorization of

Question

is 24 × 5.

Answer 1

To find the prime factorization of the number given as \( 24 \times 5 \), we first need the prime factorizations of the individual components.

1. Prime Factorization of 24:

   • \( 24 = 2 \times 12 \)
   • \( 12 = 2 \times 6 \)
   • \( 6 = 2 \times 3 \)
   • Therefore, the prime factorization of \( 24 \) is: \[ 24 = 2^3 \times 3^1 \]

2. Prime Factorization of 5:

   • \( 5 \) is a prime number.

Now we can combine the prime factorizations of \( 24 \) and \( 5 \): \[ 24 \times 5 = (2^3 \times 3^1) \times (5^1) \] This can be simplified as: \[ 2^3 \times 3^1 \times 5^1 \]

Thus, the prime factorization of \( 24 \times 5 \) is: \[ 2^3 \times 3^1 \times 5^1 \]