What is the Factorial of Hundred (100)?

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Factorial of Hundred (100)
Answer
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The factorial of 100, written as 100!, is the product of all positive integers from 1 to 100. In mathematical terms: 100!=100×99×98×…×2×1
100! = 100 \times 99 \times 98 \times \….. \times 2 \times 1
100!=100×99×98×…×2×1

This number is extremely large and cannot be written out in full easily due to its length. In fact:

100! = 9.332621544394415268169923885626670049071596826438162146859296389… × 10¹⁵⁷

(That’s over 157 digits long!)

Why is Factorial Important?

Factorials are widely used in:

Combinatorics (e.g., permutations and combinations)

Probability and statistics

Mathematical analysis

Computer science algorithms

Table of Factorials (1! to 20!)

To better understand how factorials grow, here’s a table from 1! to 20!:

nn! (Factorial)
11
22
36
424
5120
6720
75,040
840,320
9362,880
103,628,800
1139,916,800
12479,001,600
136,227,020,800
1487,178,291,200
151,307,674,368,000
1620,922,789,888,000
17355,687,428,096,000
186,402,373,705,728,000
19121,645,100,408,832,000
202,432,902,008,176,640,000

Also Read:
How Do I Convert 1 Cent to Square Feet?
How to write Roman numbers 1 to 100?
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