Question

The prime factorization of
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:
\[
2^3 \times 3^1 \times 5^1
\]