Factorial Calculator
Find factorials of any number quickly
Maximum: 170 (due to JavaScript number limits)
Factorial Result:
120
5! = 120
Calculation Steps:
5! = 5 × 4 × 3 × 2 × 1
Scientific Notation:
1.2 × 10²
Number of Digits:
3 digits
Factorial Concepts
What is Factorial?
Definition:
The product of all positive integers from 1 to n
Factorial Formula:
n! = n × (n-1) × (n-2) × ... × 3 × 2 × 1
Special Cases:
0! = 1
By definition
1! = 1
Product of numbers from 1 to 1
Negative numbers
Factorial not defined for negative integers
Common Factorials:
0! =
1
1! =
1
2! =
2
3! =
6
4! =
24
5! =
120
6! =
720
7! =
5,040
8! =
40,320
9! =
362,880
10! =
3,628,800
Applications:
• Permutations and combinations
• Probability calculations
• Series expansions
• Computer algorithms
• Statistical analysis
• Probability calculations
• Series expansions
• Computer algorithms
• Statistical analysis