Question

Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.​

Answer 1

$★Question:-$

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

$★Answer:-$

Now consider,

7 x 11 x 13 + 13

We can also write this as,

⇒ (77 + 1) x 13

⇒ 1014

So the factors are,

⇒ 13 x 13 x 3 x 2

It is a composite number. The given number has more than two factors.

Now consider,

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

We can also write it as,

⇒ 5(7 x 6 x 5 x 4 x 3 x 2 x 1 + 1)

By calculation we get,

⇒ 1009 x 5

It is a composite number. The given number has more than two factors.

Hence proved.

Answer 2

Answer:

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Step-by-step explanation:

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