Show that the number $5 imes 11 imes 17 + 3 imes 11$ is a composite number.

Question

Show that the number $5 	imes 11 	imes 17 + 3 	imes 11$ is a composite number.

Accepted Answer

Step 1: $5 	imes 11 	imes 17 + 3 	imes 11 = 11 	imes (5 	imes 17 + 3)$
Step 2: $= 11 	imes 88 = 11 	imes 11 	imes 2^3$
It means the number can be expressed as a product of two factors other than 1, therefore the given number is a composite number.

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