Factorial of 45 (45!)
RESULT: 119,622,220,865,480,188,574,992,723,157,469,373,503,186,265,858,579,103,744
The factorial of 45, written as 45!, is the product of all positive integers less than or equal to 45.
What Is the Formula to Calculate 45 Factorial?
The formula for calculating 45 factorial (45!) is:
45! = 45 × 44 × 43 × 42 × 41 × 40 × 39 × 38 × 37 × 36 × 35 × 34 × 33 × 32 × 31 × 30 × 29 × 28 × 27 × 26 × 25 × 24 × 23 × 22 × 21 × 20 × 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 119,622,220,865,480,188,574,992,723,157,469,373,503,186,265,858,579,103,744
How Many Digits in 45 Factorial?
The number 45! has 19 digits.
Factorial Table From 1! to 45!
| n | n! |
|---|---|
| 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 |
Frequently Asked Questions
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What is 45!?
It's the product of all positive integers from 1 to 45. Answer: 119,622,220,865,480,188,574,992,723,157,469,373,503,186,265,858,579,103,744.
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Is factorial defined for negative numbers?
No. Factorials are only defined for non-negative integers (0 and up).
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What is 0!?
By definition, the factorial of 0 is 1.