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Question

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:

2×3×5×7×11=2310

Hence, the smallest composite number that has the five smallest prime numbers as factors is 2310.


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