Question

16.Show that 5 x 7 x 11 x 13 + 13 is a composite number.

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Answer 1

Answer:

5x7x11x13+13

=5018

5018 is even so it is a composite number

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

5 x 7 x 11 x 13 + 13

=[5 x 7 x (10+1)] +13

=[5 x 7 x 10] + [5 x 7] + 13

=[5 x 7 x 10] + [5 x (6+1)] + 13

=[5 x 7 x 10] + [5 x 6] + [5 + 13]

=[5 x 7 x 10] + [5 x 6] + [18]

Each of the term above is even number and even numbers are all composite numbers. So the sum of three composite numbers is also a composite number. hence proved.

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