It is not except when n = 1.
Zero factorial is one because n! = n-1! X n. For example: 4! = (4-1) X 4. If zero factorial was zero, that would mean 1! =(1-1) X 1 = 0 X 1=0. Then if 1!=0, then even 999! would equal zero. Therefore, zero factorial equals 1.
3.04140932 × 1064
What is the rationale for defining 0 factorial to be 1?AnswerThe defining 0 factorial to be 1 is not a rationale."Why is zero factorial equal to one?" is a problem that one has to prove.When 0 factorial to be 1 to be proved,the defining 0 factorial to be 1 is unvaluable.One has only one general primitive definition of a factorial number:n! = n x (n-1) x (n-2) x (n-3) x ... x 2 x 1.After that zero factorial denoted 0! is a problem that one has to acceptby convention 0!=1 as a part of definition.One has to prove zero factorial to be one.Only from the definition of a factorial number and by dividing both sidesby n one has: n!/n (n-1)! or (n-1)! = n!/nwhen n=2 one has (2-1)! = 2!/2 or 1! = 2x1/2 or 1! = 1when n=1 one has (1-1)! = 1!/1 or 0! = 1/1 or 0! = 1. =This is a proof that zero factorial is equal to one to be known.But a new proof is:A Schema Proof Without WordsThat Zero Factorial Is Equal To One.... ... ...Now the expression 0! = 1 is already a proof, not need a definitionnor a convention. So the defining 0 factorial to be 1 is unvaluable.The proof "without words" abovethat zero factorial is equal to one is a New that:*One has not to accept by convention 0!=1 anymore.*Zero factorial is not an empty product.*This Schema leads to a Law of Factorial.Note that the above schema is true but should not be used in a formal proof for 0!=1.The problem arises when you simplify the pattern formed by this schema into a MacLauren Series, which is the mathematical basis for it in the first place. Upon doing so you arrive with, . This representation illustrates that upon solving it you use 0!.In proofs you cannot define something by using that which you are defining in the definition. (ie) 0! can't be used when solving a problem within a proof of 0!.For clarification, the above series will represent the drawn out solution for the factorial of a number, i. (ie) 1×76 -6×66 +15×56 -20×46 +15×36 -6×26 +1×16 , where i=6.
7 factorial, (7!) is equal to 5,040.
It is not except when n = 1.
0!=1! 1=1 The factorial of 0 is 1, not 0
1 factorial = 1
Zero factorial is one because n! = n-1! X n. For example: 4! = (4-1) X 4. If zero factorial was zero, that would mean 1! =(1-1) X 1 = 0 X 1=0. Then if 1!=0, then even 999! would equal zero. Therefore, zero factorial equals 1.
That's not the factorial of any number. For a start, the factorial of any number greater than or equal to 2 is even, because of the factor 2. The factorial of any number greater or equal to five ends with 0. Another answer: I suspect the questioner meant to ask how to write 8*7*6*5*4*3*2*1 as a factorial. If so, then the answer is "8!"
factorial of -1
As we know product of no numbers at all is 1 and for this reason factorial of zero =1and we know factorial of 1=1
Factorial 25 (25!) is equal to 1.5511210043 × 1025 what is 1025
Zero factorial = 1
An example in Java, to compute 10!: int factorial = 1; for(int i = 1; i < 11; i++) { factorial *= i; }
3.04140932 × 1064
A factorial of a positive integer n, is the product of all positive integers less than or equal to n. For example the factorial of 5 is: 5! = 5 x 4 x 3 x 2 x 1 = 120 0! is a special case that is explicitly defined to be 1. A factorial is denoted by n! (5! for this example)