What is the factorial of 100?

Questions : What is the factorial of 100 ?

Answer:  

 The factorial of 100, written as $100!$, is:

93,326,215,443,944,152,681,699,238,856,266,700,490,715,968,264,381,621,468,592,963,895,217,599,993,229,915,608,941,463,976,156,518,286,253,697,920,827,223,758,251,185,210,916,864,000,000,000,000,000,000,000,000.

Additional Information

The factorial of 100 (denoted as 100!) is a very large number!¹ It's the product of all positive integers from 1 to 100.

Here's what you need to know:

• It's huge: 100! is approximately equal to 9.33262154 × 10^157.² That's a 9 followed by 157 digits!
• Calculators struggle: Many standard calculators can't handle such large numbers. You'll need a scientific calculator or a computer program that can handle arbitrary-precision arithmetic.
• Why it's important: Factorials are fundamental in many areas of mathematics, especially combinatorics (counting problems), probability, and calculus.³

How to think about it:

Imagine multiplying 1 x 2 x 3 x 4 ... all the way up to 100. Each multiplication makes the number grow incredibly fast. That's why 100! is so astronomically large.

Where to find it:

• Online calculators: Some specialized online calculators can handle factorials of large numbers.⁴
• Programming languages: Languages like Python have libraries that can calculate with very large numbers.

If you need the exact value of 100! for a specific purpose, you'll likely need to use a computer program or a specialized online tool.

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