One of the most basic math facts you learn in school is the factorial, which asks you to multiply all the numbers from 1 to a specific number and then add 1 to the total. For example, factorial of 4 would be 1 * 2 * 3 * 4 = 24, while factorial of 7 would be 1 * 2 * 3 * 4 * 5 * 6 * 7 = 5,040. You can actually use that knowledge when looking at the value of 100! In this article, we’ll look at what the factorial of 100 equals, and why it’s not so simple.
Find a calculator
Calculators can be your best friend when you’re trying to tackle math problems with more than a couple of variables. After all, using your calculator to multiply 0.01 x 1 x 2 x 3 . . . 97 x 98 will save you plenty of time and mental energy. But not all calculators are created equal—especially when it comes to factorials.
Factorial of 100- Applications of Factorial
The factorial function was used to calculate the first permutation: there are n! Different ways of arranging n different objects in a series. Factorials are used more widely in combinatorics formulas for various object orderings. The binomial coefficient (n k), for example, calculate k-element combinations (subsets of k elements) from a collection of n elements and can be obtained using factorials. The factorial is added to Stirling numbers of the first kind, and permutations of n are counted in the subset with the same number of cycles. Another combinatorial application is computing a divergence, or permutation, that does not leave an element in its original position; The number of deviations of n items is equal to the nearest integer to n! / I.
The binomial theorem, which employs binomial coefficients to expand to the powers of a sum, gives rise to factorization in mathematics. They can also be found in coefficients that are used to link specific families of polynomials, such as Newton’s identity for symmetric polynomials. Factorials are orders of finite symmetric groups, which explains their application in computing permutations algebraically. Factorials appear in Fadi Bruno’s formula for chaining higher derivatives in calculus. In mathematical analysis, exponents regularly appear in the denominators of power series, especially in series for exponential functions.
Multiply all numbers from 1 to 99 together.
The factorial of a positive integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, 5! = 1×2×3×4×5 = 120. The factorial operator is sometimes indicated by a special symbol, which varies from one algebraic system to another. The unicode symbol for an exclamation mark (!) was selected as factorial sign in Unicode 2.1 (1999). !!! ≡ 1·2·3·4·5 = 120.
Now, add in 1.
It seems like a pretty basic question—what is 1 factorial?—but if you’re like most people, you probably aren’t sure. It’s OK to be curious about math, and it’s OK to look things up! The definition for factorial is as follows: n! = 1 × 2 × 3 × 4 × … × n.
The result will be 6726211385700000000000000♠ 2.113857 x 10.
If you have a calculator handy, check it out. It’s an eye-opening number. But what is factorial, anyway?
Table of factorials until 30
| n | n! |
|---|---|
| 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 |
| 21 | 51090942171709440000 |
| 22 | 1124000727777607680000 |
| 23 | 25852016738884976640000 |
| 24 | 620448401733239439360000 |
| 25 | 15511210043330985984000000 |
| 26 | 403291461126605635584000000 |
| 27 | 10888869450418352160768000000 |
| 28 | 304888344611713860501504000000 |
| 29 | 8841761993739701954543616000000 |
| 30 | 265252859812191058636308480000000 |
Also Read: What Is Satta Matka and How Is It Played?
Conclusion
To calculate factorials of numbers beyond two digits, multiply each digit by every other digit in your number. For example, to find 14! (the factorial of 14), multiply 1 by 4 and get 4. Next, multiply 4 by 1 and get 4. You’ve now multiplied all three digits in your number: it’s time to add them together! Simply add those digits together for your answer: 42.
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