What Is The Factorial Of 100? | Exact Value, Properties, Top Ways And Table

The factorial is a fundamental and helpful term in mathematics, which helps us to figure out many problems, including probability and calculus.

The factorial of a hundred is a gigantic value squeezed into readable and understandable amounts using approximation and exponential constant.

The approximated answer of 100 factorial is 9.332622e+157.

For those who don’t know, Factorial is the mathematical term that we get by multiplying the positive integer by the less than or equal terms of that specific given positive digit.

For example, the factorial of 5 can find out by

5!= 5 x 4 x 3 x 2 x 1=120

For further details, Read the article carefully!

The Exact Value Of Factorial Of Hundred.

The exact and complete answer to the factorial of 100 is

The Exact Value Of Factorial Of Hundred.
Source: Quora
  1. 100!=93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
  2. 100! has 158  number of digits. Just think for a moment; in case we want to use this factorial of hundred, then imagine how we can write 158 digits on our sheet. It would be very time consuming and a waste of paper because we have approximated number of 100!
  3. The approximated value of 100! Is  9.332622e+157.
  4. The method to calculate the factorial is same as that explained by definition. 100!= 99 . 98 . 97 . 96 . 95….. 5 . 4 .3 . 2 . 1
  5. There are 24 Trailing zeros in the factorial of 100. In very simple words Trailing zeros are the zero on the left side of a non-zero digit. For Example: The value 850000 has 4 trailing zeros (count zero on the left side of non-zero digits).

What Is Factorial?

A french mathematician named Christian Kramp invented a strategy to arrange many things, let’s say “n” number of things, in “n” number of ways in the early 1800s.

It is a product of positive integers smaller than or equal to that specific given positive integer. Mathematically,

4!= 4 x 3 x 2 x 1=24

We’ve multiplied all the smaller and equal entities of 4.

Properties Of Factorial

Properties Of Factorial
Source: youtube
  1. It helps us to Set the “n” number of objects when we have “n” numbers of choices.
  2. Probabilities and calculus are a considerable part of mathematics which are incomplete without factorials.
  3. A factorial is shown by the exclamation mark. Like a factorial of two can be written as 2!
  4. Factorials are applicable only for positive integers, including 0. It doesn’t show any data of non-integral values also.
  5. The factorial of 0 is 1.
  6. Calculation of Probabilities, combinations, permutations, calculus, and the coefficients of values in binomial expansion, factorials are frequently used.
  7. It also has importance in algebra, combinatorics, and mathematical analysis.

Top 3 Ways To Calculate The Factorial Of 100?

The factorial of hundred can be figured out by the simple general formulas.

  1. n!=1.2.3. (n-2) . (n-1).n
  2. n! = n . (n-1) !
  3. Use the Scientific Calculators having option of factorials in it.

Table Of Factorials Till 100(Multiples Of 10)

10!  3628800
20!     2.432902e+18 
50!  3.0414093e+64
60!   8.3209871e+81
70! 1.197857e+100
80!   7.156946e+118
90!   1.485716e+138


In the end, we reached the point that the exact value of the factorial of 100 is very long as it contains 158 digits. That’s why a compelled and approximate packed value of 100! Is

9.332622E+157. And there are several methods to find that value, as we’ve explained completely for the ease of you guys.

So go and check out those simple points, If you’re one of those who use factorials on a daily basis.

Video Guide: