by What is the factorial of 100 ?
What is Factorial?
The factorial of n is denoted by n! and calculated by the product of integer numbers from 1 to n.
For n>0, n! = 1×2×3×4×…×n
For n=0, 0! = 1
Factorial definition formula (In product notation)
Examples:
1! = 1
2! = 1×2 = 2
3! = 1×2×3 = 6
4! = 1×2×3×4 = 24
5! = 1×2×3×4×5 = 120
What is the factorial of 100 ? (How to calculate factorial of 100 )
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
= 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
In scientific notation this is equivalent to
( FAQs)
1. What is the factorial of 100?
Ans. The factorial of 100 is exactly equal to 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
The approximate value of 100! is 9.3326215443944E+157.
2. How many zeros at the end of 100 factorial?
Solution : There are 24 zeros at the end of 100 factorial .
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