Show that 5 × 7 × 11 × 13 + 55 is a composite number.

Given :

The given term is $5\times7\times11\times13+55$.

To do :

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

Solution :

 $5\times7\times11\times13+55 = 5 (1 \times7\times11\times13+11)$ 

                                                 $= 5 \times 11\times ( 1 \times7\times1\times13+ 1)$

                                                 $=5 \times 11\times (91 + 1)$

                                                $ =5 \times 11\times 92$

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

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Updated on: 10-Oct-2022

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