What is the factorial of 1 to 100?

The factorial of numbers from 1 to 100 refers to the product of all positive integers from 1 up to a given number. Factorials are represented using the symbol “!”.

Formula:
n! = n × (n − 1) × (n − 2) × ... × 2 × 1

Factorials are widely used in mathematics, probability, permutations, combinations, statistics, and competitive exams like SSC, CAT, NDA, CDS, and banking exams.

Here is the factorial list from 1 to 20:

• 1! = 1
• 2! = 2
• 3! = 6
• 4! = 24
• 5! = 120
• 6! = 720
• 7! = 5040
• 8! = 40320
• 9! = 362880
• 10! = 3628800
• 11! = 39916800
• 12! = 479001600
• 13! = 6227020800
• 14! = 87178291200
• 15! = 1307674368000
• 16! = 20922789888000
• 17! = 355687428096000
• 18! = 6402373705728000
• 19! = 121645100408832000
• 20! = 2432902008176640000

As the number increases, factorial values become extremely large very quickly.

Examples of larger factorials:

• 50! has 65 digits
• 100! has 158 digits

Value of 100!:

93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

Important shortcut concepts for exams:

• 0! = 1
• 1! = 1
• n! = n × (n−1)!
• Number of trailing zeros in factorials depends on powers of 5.

For example:
10! ends with 2 zeros
100! ends with 24 zeros

Factorials are commonly asked in:
• Quantitative aptitude
• Numerical ability
• Algebra and probability
• Competitive exams and interviews