what is factorial of hundred
The factorial of hundred (written as 100!) is:
100! = 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
Quick Scoop
- Meaning : “Factorial of hundred” means multiply all whole numbers from 1 to 100:
100! = 100 × 99 × 98 × … × 2 × 1.
- Size :
- It has 158 digits.
* It ends with 24 zeros.
- Approximate form (scientific notation) :
- 100! ≈ 9.332621544 × 10¹⁵⁷.
Mini View: Why it’s used
- Factorials like 100! appear in:
- Combinations and permutations (e.g., “How many ways can we arrange or choose things?”).
* Probability and statistics formulas.
HTML table (as requested)
| Item | Value / Description |
|---|---|
| Expression | 100! = 100 × 99 × 98 × … × 2 × 1 | [3][5]
| Exact value | 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000 | [1][3]
| Approximate (scientific notation) | ≈ 9.332621544 × 10¹⁵⁷ | [5][1][3]
| Number of digits | 158 digits | [1][3][5]
| Trailing zeros | 24 zeros at the end | [7][3][1]
TL;DR: The factorial of hundred is a huge 158‑digit number, exactly as written above, and is often written compactly as about 9.33 × 10¹⁵⁷.
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