Originally posted on June 18, 2022 @ 11:59 am
Here you can find answers to questions like: What is the factorial of 100? What is the factorial of 100? What are the last digits of the factorial of 100? How many trailing zeros in 100 factorial? How many digits are there in 100 factorial?
To Find The factorial of 100
Step-by-step explanation
We know that if n be a number, then its factorial is given by
n! = n × (n – 1) × (n – 2) × (n – 3) × … … × 1
Here our given number is 100. Thus taking n = 100, we get
100! = 100 × (100 – 1) × (100 – 2) × (100 – 3) × … … × 1
= 100 × 99 × 98 × 97 × … … × 1
= 933262154439441526816992388562667004907159682643816214
68592963895217599993229915608941463961565182862536979208
27223758251185210916864000000000000000000000000
The aproximate value of 100! is 9.3326215443944E+157.
The number of trailing zeros in 100! is 24.
The number of digits in 100 factorial is 158.
Let us find the factorial of a smaller number. Say, n = 4. Then 4! = 4 × 3 × 2 × 1 = 24.
Definition of Factorial
A factorial is a number that can be calculated for any integer n that is greater than or equal to 0.
The factorial is the sum of all numbers less than or equal to n but greater than or equal to 1. By definition, the factorial value of 0 is 1. Factorials are not defined for numbers that are less than zero. The factorial is what you get when you multiply a series of natural numbers that go down, like 3 × 2 × 1.
The factorial symbol is the exclamation mark !
The factorial formula
If n is a natural number greater than or equal to 1, then
n! = n x (n – 1) x (n – 2) x (n – 3) … 3 x 2 x 1
If n = 0, then n! = 1, by convention.
