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Explain why 3 × 5 × 7 + 7 is a composite number.

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So, basically there are two types of numbers i.e., prime numbers and composite numbers. 

Understanding that, 

Prime numbers are those numbers having 1 and the number itself as factors. And, 

Composite numbers are those numbers having factors other than 1 and itself. 

It’s seen that, 

3 × 5 × 7+ 7 = 7 × (3 × 5 + 1) = 7 × (15 + 1) = 7 × 16 

Since, the given expression has 7 and 16 as its factors we can conclude that it is a composite number.

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