What is the value of 100 factorial?

The value of 100 factorial, written as 100!, is the product of all natural numbers from 1 to 100.

Mathematically:

100! = 100 × 99 × 98 × 97 × ... × 3 × 2 × 1

The exact value of 100 factorial is:

93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

Some important facts about 100 factorial:

• It contains 158 digits.
• It ends with 24 zeros.
• It is a very large number commonly used in mathematics, probability, permutations, combinations, and computer science.
• Factorials are widely used in competitive exams, statistics, and algebra problems.

For example, factorials help calculate:
• Number of arrangements (permutations)
• Probability outcomes
• Combinations in exams like CAT, SSC, NDA, and banking exams

A quick understanding of factorials:
• 5! = 5 × 4 × 3 × 2 × 1 = 120
• 7! = 5040
• 10! = 3628800

As numbers increase, factorial values grow extremely fast. That is why 100! is considered a huge mathematical number.