Factorial of input
f = factorial(10)
f = 3628800
format long f = factorial(22)
f = 1.124000727777608e+21
In this case, f is accurate up to 15 digits, 1.12400072777760e+21, because double-precision numbers are only accurate up to 15 digits.
Reset the output format to the default.
n = [0 1 2; 3 4 5]; f = factorial(n)
f = 1 1 2 6 24 120
n = uint64([5 10 15 20]); f = factorial(n)
f = 120 3628800 1307674368000 2432902008176640000
Input values, specified as a scalar, vector, or array of real, nonnegative integers.
Example: [0 1 2 3 4]
Example: int16([10 15 20])
Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64
For double-precision inputs, the result is exact when n is less than or equal to 21. Larger values of n produce a result that has the correct order of magnitude and is accurate for the first 15 digits. This is because double-precision numbers are only accurate up to 15 digits.
For single-precision inputs, the result is exact when n is less than or equal to 13. Larger values of n produce a result that has the correct order of magnitude and is accurate for the first 8 digits. This is because single-precision numbers are only accurate up to 8 digits.
The table below describes the saturation behavior of each data type when used with the factorial function. The values in the last column indicate the saturation point; that is, the first positive integer whose actual factorial is larger than the maximum representable value in the middle column. For single and double, all values larger than the maximum value are returned as Inf. For the integer data types, the saturation value is equal to the maximum value in the middle column.
|Data type||Maximum Value||Factorial Saturation Threshold|