Question

4. Explain why 7x11x13+13 and 7x 6 x 5x4x3
x 2 x 1 +5 are Composite numbers.​

Answer 1

Answer:

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Solution :

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.