what is the factorial of -23?

Answer 1

factorial number system doesn't apply to negative numbers

Answer 2

Nothing. It is a prime number.

Read this:

In mathematics, a prime number (or a prime) is a natural number that has exactly two (distinct) natural number divisors, which are 1 and the prime number itself. There exists an infinitude of prime numbers, as demonstrated by Euclid in about 300 B.C.. The first 30 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, and 113 (sequence A000040 in OEIS); see the list of prime numbers for a longer list.

The property of being a prime is called primality, and the word prime is also used as an adjective. Since 2 is the only even prime number, the term odd prime refers to all prime numbers greater than 2.

The study of prime numbers is part of number theory, the branch of mathematics which encompasses the study of natural numbers. Prime numbers have been the subject of intense research, yet some fundamental questions remain such as the Riemann hypothesis or the Goldbach conjecture, which have been open for more than a century. The problem of modeling the distribution of prime numbers is a popular subject of investigation for number theorists: When looking at individual numbers, the primes seem to be randomly distributed, but the "global" distribution of primes follows well-defined laws.

The notion of prime number has been generalized in many different branches of mathematics.

In ring theory, a branch of abstract algebra, the term "prime element" has a specific meaning. Here, a ring element a is defined to be prime if whenever a divides b c for ring elements b and c, then a divides at least one of b or c. With this meaning, the additive inverse of any prime number is also prime. In other words, when considering the set of integers as a ring, − 7 is a prime element. Without further specification, however, "prime number" always means a positive integer prime. Among rings of complex algebraic integers, Eisenstein primes and Gaussian primes may also be of interest.
In knot theory, a prime knot is a knot which can not be disaggregated into a smaller prime knot.
In both the two above examples, the prime divisibility theorem (Every natural number can be 'uniquely' decomposed into a product of primes) does not apply.

Answer 3

Factorial only works on positive numbers.

Answer 4

(-23)!

First we can convert the factorial notation to the gamma function
(-23)! = Γ(-22)

-22 is a negative integer, so Γ(-22) does not exist, which is justified.
First we can compute
lim n ->-22 Γ(n).
Since its left hand limit is +infinity and its right hand limit is -infinity, then the limit does not exist. We can see that the value also does not exist. Thus, (-23)! also does not exist.

^_^

Answer 5

Undefined.

There is a generalization of the factorial (the gamma function) that is defines for negative non-integers. But the factotial of a negative integer like -23 is undefined.

Here's why: fak(n-1)=fak(n)/(n-1)
In particular, fak(-1) = fak(0)/0 .... undefined!

Answer 6

You must be kidding, right?You CAN'T factorialize that number. If you still insist for an answer, it's an empty set or "cannot be solved".

Answer 7

factorials can be done for positive numbers only. for a negative number it does not exist.so its a vague question.

Answer 8

(-1)! = 1/0 which means that (-1!) is undefined. Extending further to (-2)! etc. is thus impossible as well.

Answer 9

The answer is NAN or empty set. Its impossible to compute.