The smallest composite number that has the five smallest prime numbers (2, 3, 5, 7, and 11) as factors is 2310.
To understand why, we need to look at the definition of a composite number. A composite number is a positive integer that has at least one positive divisor other than one or itself, meaning it can be formed by multiplying two or more smaller natural numbers.
In this case, to find the smallest composite number that includes the five smallest primes, we simply need to multiply those primes together:
2 × 3 × 5 × 7 × 11 = 2310
This gives us 2310 as the smallest composite number composed of those prime factors. Since all the prime factors are included in the product, 2310 is divisible by each of them, confirming it aligns perfectly with the requirement.
Thus, the answer is 2310.