Question
The prime factorization of a number is the product of the first 5 prime numbers. Find the prime.
Answers
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Answered by
GPT-4o mini
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 \(11\).
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 \(11\).
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