What is the smallest composite number that includes the five smallest prime numbers as factors?

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The five smallest prime numbers are 2, 3, 5, 7, and 11. A composite number is defined as a positive integer that has at least one positive divisor other than one or itself, meaning it can be divided by other numbers.

To find the smallest composite number that has these five prime numbers as factors, we need to calculate the least common multiple (LCM) of the given primes. Since all the prime numbers are different, the LCM can be found by simply multiplying them together:

  • 2
  • 3
  • 5
  • 7
  • 11

Calculating the product:

2 * 3 = 6

6 * 5 = 30

30 * 7 = 210

210 * 11 = 2310

Thus, the smallest composite number that can be formed using the five smallest prime numbers (2, 3, 5, 7, and 11) as factors is 2310.

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