Question

What is the meaning of consecutive composite numbers?

Answer 1

Hint: We know that composite numbers are those numbers other than prime numbers. The numbers that are continuous as well as composite are known as consecutive composite numbers. We have found such numbers and that would be our required answer.

Complete step-by-step solution:
Now let us learn all about composite numbers. Composite numbers are those numbers which have more than two factors other than one and number itself which means that these numbers can be divided with more than two factors. There are two types of composite numbers. They are: odd composite numbers and even composite numbers. Prime factorization can be performed only upon the composite numbers. The smallest composite number is $4$. The only number that is neither prime nor composite is $1$.
Now let us find the consecutive composite numbers.
The composite numbers that occur continuously are called consecutive. From the set of natural numbers, the first set of continuous composite numbers would be $8,9,10$.
Some more consecutive composite numbers are $\left(14,15,16\right)$, $\left( 20,21,22 \right)$ etc.

Note: Before listing down the composite numbers, we must check and make sure that the listed number possesses more than two factors other than one and number itself. These numbers can be written as products of primes also. We must have a note that composite numbers can be divided up exactly other than the number itself. Composite numbers follow the “Fundamental Theorem of Arithmetic”.