Purpose
Return value
Syntax
=FACTDOUBLE(number)
- number - A number greater than or equal to -1.
How to use
The FACTDOUBLE function returns the double factorial of a number. A double factorial is calculated differently for even and odd numbers. For an even number, n, it's the product of all even integers less than or equal to n and greater than or equal to 2. For an odd number, the double factorial is the product of all odd integers less than or equal to n and greater than or equal to 1. The double factorial for both zero and -1 are defined as 1. For numbers less than -1, a double factorial is not defined.
FACTDOUBLE takes just one argument, number, which should be a positive integer. If number is not an integer, the decimal portion of number will be removed before the factorial is calculated.
Examples
For even numbers, the double factorial is the product of all even integers less than or equal to number and greater than or equal to 2. For example, the double factorial of 8 is 384:
=FACTDOUBLE(8)
=8*6*4*2
=384
For odd numbers, the double factorial is the product of all odd integers less than or equal to number and greater than or equal to 1. The double factorial of 7 is 105:
=FACTDOUBLE(7)
=7*5*3*1
=105
The double factorial for zero and -1 are defined as 1:
=FACTDOUBLE(0) // returns 1
=FACTDOUBLE(-1) // returns 1
Notes
- If number is negative, FACTDOUBLE will return the #NUM! error.
- If number is not an integer it will be truncated to an integer, and then solved.
- If number is not numeric, FACTDOUBLE will return the #VALUE! error.