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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 \(11\).