What is 100 Factorial?

100 factorial, written as 100!, is the product of all positive integers from 1 to 100. In mathematical terms: 100!=100×99×98×…×2×1100! = 100!=100×99×98×…×2×1

It’s an extremely large number used in advanced mathematics, combinatorics, probability, and computer science, particularly in calculations involving permutations and combinations.

Value of 100!

The exact numerical value of 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

Because of its sheer size, 100! is often represented using scientific notation or approximations in most practical applications.

Applications of 100!

Field	Application
Mathematics	Used in permutations and combinations: e.g., calculating 100C10 (choose 10 from 100)
Computer Science	Algorithms involving large datasets or recursion problems
Statistics	Probabilistic models and distributions such as the binomial distribution
Physics	Quantum mechanics and statistical mechanics calculations
Cryptography	Factorials of large numbers contribute to encryption and key generation schemes

Interesting Facts About 100!

Number of digits in 100!: 100! has 158 digits.

Trailing zeros: 100! ends in 24 zeros. This is because there are 24 pairs of multiples of 5 and 2 in the prime factorization of numbers from 1 to 100.

Used in permutations: To find how many ways you can arrange 100 unique objects (100P100), you use 100!.

Also Read:
What is the full form of INSAT?
Which hills are located in Rajasthan?
What is the cost of Holstein Friesian in India?