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.