Explain why $7\times11\times13\times17+17$ is a composite number.


Given :

The given term is $7\times11\times13\times17+17$.

To do :

We have to explain why the given term is a composite number.

Solution :

$7\times11\times13\times17+17 = 17 (7\times11\times13\times1 + 1)$

                                                 $= 17 (1001 + 1)$

                                                 $=17 \times 1002$

                                                $ = 17 \times 2 \times 3 \times 167$

Since the given term has more than two factors, it is a composite number.

Updated on: 10-Oct-2022

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