Explain why 7 x 11 x 13 + 13 and 7 x6x5 x 4×3 x 2×1 +5 are composite numbers.
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2 thoughts on “<br />Explain why 7 x 11 x 13 + 13 and 7 x6x5 x 4×3 x 2×1 +5 are composite numbers.<br />​”

1. Step-by-step explanation:

   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.

   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.

   hope this helps you!!

   Reply

2. 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.
   • 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.

   Reply