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

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Solution

Determine the smallest composite number that has the five smallest prime numbers as factors.
A composite number is one that is divisible by a number other than $1$ and the number itself.
The product of the first five prime numbers will be the number with the five smallest prime numbers as factors.
The first five prime numbers are $2, 3, 5, 7$ and $11$ .
So, the smallest composite number has the five smallest prime numbers as factors is:
$2 \times 3 \times 5 \times 7 \times 11 = 2310$
Hence, the smallest composite number that has the five smallest prime numbers as factors is $2310$ .

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