**Composite Numbers**

Composite numbers are positive integers greater than 1 that have factors other than 1 and itself. In other words, composite numbers can be divided evenly by numbers other than 1 and itself.

**Factors of a Composite Number**

When we say that a number is composite, it means that it has factors other than 1 and itself. Factors are numbers that can be multiplied together to get the original number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

**Breakdown of 7 × 11 × 13**

Let's break down the number 7 × 11 × 13 to understand why it is a composite number.

1. The number 7 is a prime number because it only has two factors, 1 and 7. Thus, it is not composite.
2. The number 11 is also a prime number because it only has two factors, 1 and 11. Similarly, it is not composite.
3. The number 13 is also a prime number because it only has two factors, 1 and 13. It is not composite either.

Since all the factors of 7 × 11 × 13 are prime numbers and the number itself has no other factors, it is not a composite number. It is a prime number.

**Breakdown of 7 × 6 × 5 × 4 × 3 × 2 × 1**

Now let's break down the number 7 × 6 × 5 × 4 × 3 × 2 × 1 to understand why it is a composite number.

1. The number 7 is a prime number because it only has two factors, 1 and 7. Thus, it is not composite.
2. The number 6 is a composite number because it has factors other than 1 and itself. Its factors are 1, 2, 3, and 6.
3. The number 5 is a prime number because it only has two factors, 1 and 5. It is not composite.
4. The number 4 is a composite number because it has factors other than 1 and itself. Its factors are 1, 2, and 4.
5. The number 3 is a prime number because it only has two factors, 1 and 3. It is not composite.
6. The number 2 is a prime number because it only has two factors, 1 and 2. It is not composite.
7. The number 1 is not considered prime or composite because it only has one factor, which is itself.

Since the number 7 × 6 × 5 × 4 × 3 × 2 × 1 has factors other than 1 and itself, it is a composite number.

In conclusion, the number 7 × 11 × 13 is not a composite number because all its factors are prime numbers, while the number 7 × 6 × 5 × 4 × 3 × 2 × 1 is a composite number because it has factors other than 1 and itself.

firstly solve the terms and later on find that they have prime numbers if have then it is composite