Q&A for How to Do Factorials

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  • Question
    How can I do factorials on a TI-84 plus calculator?
    Jake Adams
    Academic Tutor
    Jake Adams is an academic tutor and the owner of Simplifi EDU, a Santa Monica, California based online tutoring business offering learning resources and online tutors for academic subjects K-College, SAT & ACT prep, and college admissions applications. With over 14 years of professional tutoring experience, Jake is dedicated to providing his clients the very best online tutoring experience and access to a network of excellent undergraduate and graduate-level tutors from top colleges all over the nation. Jake holds a BS in International Business and Marketing from Pepperdine University.
    Academic Tutor
    Expert Answer
    To calculate a factorial on a TI-84 calculator, navigate through the menu options. You can access it by pressing the "Math" key and then locating the factorial function. This is often conveniently placed in the "Favorites" menu due to its frequent use. Alternatively, you may find it under "Math" and then "Number." Explore the options in the "Number" menu, and specifically check under "NUM" for numeric calculations. Once you've located the factorial function, select it to perform the calculation.
  • Question
    Is there a short cut?
    Donagan
    Top Answerer
    The factorial notation is the short cut. For example, you can write 8! instead of writing 8x7x6x5x4x3x2x1 = 40,320.
  • Question
    How do I calculate factorials of floating point numbers like 0.5?
    Donagan
    Top Answerer
    A factorial is defined as involving integers only.
  • Question
    Why and where is the 0! = 1 used?
    Technist
    Community Answer
    A simple problem with straightforward factorials would be: "How many ranges can you arrange n objects?" Here n is 0, and technically, there's only 1 way of arranging it. As for where, you might sometimes get problems related with combinatorics or the binomial theorem such as 12C12 or 4C0, which expand to 12! / (0!12!) and 4! / (0!4!), respectively. That's where 0! will appear.
  • Question
    How do I calculate the factorial of a really big number like 37?
    Community Answer
    37! is small enough that modern computers will have no problem printing out all 44 digits if you want them. For factorials too large to compute directly, Stirling's approximation formula is a quicker way to estimate the size of n!
  • Question
    How do I find the factorial of 121?
    Donagan
    Top Answerer
    Use a factorial calculator. You can find one online at CalculatorSoup.com or RapidTables.com.
  • Question
    How do I write numbers in factorial form?
    Donagan
    Top Answerer
    Twelve factorial is written "12!"
  • Question
    How to find factorial of a large digit number easily?
    Donagan
    Top Answerer
    Assuming you don't have a scientific calculator, there is no "easy" way to do this. Use a regular calculator to perform all the multiplications.
  • Question
    What is the real answer for 0?
    Donagan
    Top Answerer
    The value of 0! is defined as 1. The explanation for this is beyond the scope of this platform but can be found by searching online for "value of zero factorial".
  • Question
    How do I simplify n factorials?
    Community Answer
    If you don't want to use iterative multiplication, you can use Striling's approximation, which is: n! := sqrt(2πn)*(n/e)^n, where e = 2.71828.
  • Question
    How to find factorial of 120?
    Donagan
    Top Answerer
    Do a websearch: "what is 120 factorial?" You will find it is approximately 6.69E198, which is 6.69 x 10^198.
  • Question
    Given that we have more than 2 or 3 factorials, say for example, 42! Times 36!, and the equation for that is too long, what do I do then?
    Donagan
    Top Answerer
    Use any search engine to ask "what is 42 factorial?" You will find it is 1.4 x 10^51. Do the same for 36 factorial. It is 3.7 x 10^41. Then multiply those two values: (1.4 x 10^51)(3.7 x 10^41) = 5.18 x 10^92.
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