Question

What is the factorial of 5?

Answer 1

Hint: Here in this question, we will show how to calculate the factorial of 5 and give the exact answer. Factorial of 5 means that we multiply 5 by every number below it. Therefore, we calculate the factorial of 5 by multiplying 5 by 4 and then by 3 and so on all the way down to 1. And further simplify using a multiplication operation to get the required answer.

Complete step-by-step answer:
The factorial is a quantity defined as any integer $$x$$ greater than or equal to 0.
The factorial is the product of all integers less than or equal to $$x$$ but greater than or equal to 1. The factorial value of 0 is by definition equal to 1. For negative integers, factorials are not defined. The factorial can be seen as the result of multiplying a sequence of descending natural numbers.
The factorial symbol is the exclamation mark ‘ $$!$$ ’.
In general, the factorial formula represented as
If n is an natural number greater than or equal to 1, then
 $$n!=n\times \left(n-1\right)\times \left(n-2\right)\times \left(n-3\right)\times ...3\times 2\times 1$$ .
If $$p=0$$ , then $$p!=1$$ by convention.
Consider, the given question
We have to find the value of factorial of 5.
Before we begin, note that the factorial of 5 can be written as 5 followed by an exclamation mark like: $$5!$$
For finding the exact value of $$5!$$ that we multiply 5 by every number below it i.e.,
 $$\Rightarrow 5!=5\times 4\times 3\times 2\times 1$$
On multiplication, we get
 $$\Rightarrow 5!=120$$
Hence, the exact value of factorial 5 is $$5!=120$$ .
So, the correct answer is “120”.

Note: Factorials are commonly used when calculating probability and permutations, or possible orders of events. A factorial is denoted by a $$!$$ sign, and it means to multiply together all the numbers descending from the factorial number. And while solving factorials we must and should know the multiplication.