Question

Explain why (7 x 13 x 11) + 11 and (7 x 6 x 5 x 4 x 3 x 2 x 1)+3 are composite numbers.
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Answer 1

Answer:

7 x 13 x 11 + 11

= (7 x 13 + 1) x 11

= (91 + 1) x 11

= 92 x 11

= (2 x 2 x 23) x 11

= 2 x 2 x 11 x 23

Since 7 x 13 x 11 + 11 can be expressed as a product of primes, it is a composite number.

(7 x 6 x 5 x 4 x 3 x 2 x 1) + 3

= (7 x 6 x 5 x 4 x 2 x 1 + 1) x 3

= (1680 + 1) x 3

= 1681 x 3

= (41 x 41) x 3

= 3 x 41 x 41

Since (7 x 6 x 5 x 4 x 3 x 2 x 1) + 3 can be expressed as a product of primes, it is a composite number.

Answer 2

Answer:

same as above ans.

Step-by-step explanation:

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