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107 LearnersLast updated on October 4, 2025
Factorial of 3.5
Factorial is the process of taking a number and multiplying it by all the lesser, natural numbers. However, for non-integer numbers like 3.5, we use the Gamma function to compute the factorial. In this topic, we will learn about the factorial of 3.5.
What is the Factorial of 3.5?
The factorial of a non-integer number can be calculated using the Gamma function, which extends the factorial function to non-integers.
If n is a positive real number, then: n! = Γ(n + 1) To find the factorial of 3.5, we use: 3.5! = Γ(3.5 + 1) = Γ(4.5) Using the properties of the Gamma function, we can calculate it approximately as: Γ(4.5) ≈ 11.6317283966
Therefore, the factorial of 3.5 is approximately 11.6317283966.
Important Glossaries of Factorial of 3.5
- Factorial: The way of multiplying all the natural numbers smaller than the original number is known as factorial, but for non-integers, it is calculated using the Gamma function.
- Gamma Function: A function that extends the factorial function to real and complex numbers.
- Non-integer: A number that is not a whole number, such as fractions or decimals.
- Approximation: A value or number that is close to the actual value but not exact, often used when calculating complex functions.
- Real Numbers: The set of numbers that includes both rational and irrational numbers, such as integers, fractions, and decimals.
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Jaskaran Singh Saluja
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Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
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