Math, asked by namannaman800, 10 months ago

Explain why 7x11x13+13 and 7 x6x5 x 4x3x2 x 1 +5 are composite numbers.

Answers

Answered by Anonymous

Answer:

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The numbers which are not prime and numbers having factors other than one and itself are known as composite numbers.

Now we have 7 x 11 x 13 + 13

we can write as (77 + 1) x 13 = 1014

So factors are 13 x 13 x 3 x 2 which has the value equal to 1014 and has more than one factor. So it is a composite number.

Now we have 7 x 6 x 5 x 4 x 3 x 2 x 1 + 5

We can write as 5(7 x 6 x 5 x 4 x 3 x 2 x 1 + 1)

We get 1009 x 5 = 5045 which is a composite number.

So factors are 1009 x 5 which has the value equal to 5045 and has more than one factor. So it is a composite number

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Answered by nitashachadha84

Step-by-step explanation:

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7×11×13+13

=13×(7×11+1)=3×78

This number is multiple of two integers.

Hence it has more than two factors.

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7×6×5×4×3 ×2×1+5

=5(7×6×4×3 ×2×1+1)=5×1009

This number is multiple of two integers.

Hence it has more than two factors.

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