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Explain why 3×5×7×11+11 is a composite …

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Explain why 3×5×7×11+11 is a composite number.
  • 1 answers

Saloni Harinkhede 3 years, 11 months ago

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. 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.
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