Explain why 7x11x13+13 and 7x6x5x4x3x2x1+5 are composite numbers?

Answer:

  • Composite numbers also known as composites in Mathematics are numbers that have more than 2 factors, not like prime numbers that have only one factor, i.e. 1 and the number itself.
  • Composite numbers are all natural numbers that are not prime numbers since they can be divided by more than two numbers.
  • 6 is composite, for instance, since it is divisible by 1, 2, 3 and even 6.

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 since the value is equal to 1014 and has more than one factor.

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

⇒ 5045

It is a composite number since the value is equal to 5045 and has more than one factor.

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