Explain why 7 times 11 times 13 + 13 and 7 ti | vedclass

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(C) composite number is a positive integer that has at least one divisor other than $1$ and itself.For the first expression: $7 	imes 11 	imes 13 +

Vedclass · Accepted Answer

They have more than two factors.

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(C) composite number is a positive integer that has at least one divisor other than $1$ and itself.For the first expression: $7 	imes 11 	imes 13 + 13 = 13 	imes (7 	imes 11 + 1) = 13 	imes (77 + 1) = 13 	imes 78 = 13 	imes 13 	imes 6$.Since this number can be expressed as a product of factors other than $1$ and itself,it is a composite number.For the second expression: $7 	imes 6 	imes 5 	imes 4 	imes 3 	imes 2 	imes 1 + 5 = 5 	imes (7 	imes 6 	imes 4 	imes 3 	imes 2 	imes 1 + 1) = 5 	imes (1008 + 1) = 5 	imes 1009$.Since $1009$ is a prime number,the expression is $5 	imes 1009$. This number has factors $1, 5, 1009$,and the number itself. Since it has more than two factors,it is a composite number.

Explain why $7 \times 11 \times 13 + 13$ and $7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 + 5$ are composite numbers.

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