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

1 answer

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 \(11\).