The prime factorization of a number is the product of the first 5 prime numbers. Find the prime.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

The first five prime numbers are:

1. \(2\)
2. \(3\)
3. \(5\)
4. \(7\)
5. \(11\)

To find the product of these prime numbers, we multiply them together:

\[
2 \times 3 = 6
\]

\[
6 \times 5 = 30
\]

\[
30 \times 7 = 210
\]

\[
210 \times 11 = 2310
\]

Therefore, the product of the first five prime numbers is \(2310\).

Thus, the prime factorization of the number \(2310\) is:

\[
2310 = 2 \times 3 \times 5 \times 7 \times 11
\]

If you are asking to identify just the prime numbers involved in the product, they are \(2, 3, 5, 7,\) and \(11\).