FACTDOUBLE Function

Excel Functions › Math & Trig

All versions Math & Trig

The Excel FACTDOUBLE function returns the double factorial of a number — the product of every other integer down to 1 or 2, skipping every second value.


Quick answer:
=FACTDOUBLE(7) 7*5*3*1 = 105

Syntax

=FACTDOUBLE(number)
ArgumentDescription
numberRequiredA non-negative number. Non-integers are truncated first; negatives return a #NUM! error.

How to use it

The double factorial multiplies every second integer rather than every integer. For odd numbers it steps down through the odds; for even numbers it steps down through the evens.

=FACTDOUBLE(7) // 7*5*3*1 = 105
=FACTDOUBLE(8) // 8*6*4*2 = 384
=FACTDOUBLE(5) // 5*3*1 = 15

Double factorials turn up in combinatorics and certain statistical and physics formulas (for example counting pairings). Note this is different from the ordinary factorial, where FACT multiplies every integer.

Odd vs even: FACTDOUBLE(7) = 7×5×3×1 (odds) while FACTDOUBLE(8) = 8×6×4×2 (evens). The parity of the argument decides which chain you walk down.

Try it: interactive demo

Live demo

Pick a FACTDOUBLE example to see the formula and its result.

Result:

Practice workbook

📊
Download the free FACTDOUBLE practice workbook
Every example on this page, ready to open in Excel — plus practice challenges with answers on a separate tab. No sign-up required.

Frequently asked questions

What is a double factorial?
The product of every second integer down to 1 (for odds) or 2 (for evens). =FACTDOUBLE(7) = 7×5×3×1 = 105.
How is FACTDOUBLE different from FACT?
FACT multiplies every integer (5! = 5×4×3×2×1 = 120), while FACTDOUBLE skips every other one (5!! = 5×3×1 = 15).
Does the answer depend on whether the number is odd or even?
Yes. An odd argument multiplies the odd numbers down to 1; an even argument multiplies the even numbers down to 2. =FACTDOUBLE(8) = 8×6×4×2 = 384.
What about negative or decimal inputs?
Negatives return a #NUM! error. Decimals are truncated to whole numbers before the calculation.

Master functions like this in one day

This page covers one function. Our Excel Formulas and Functions class covers the 30 that matter most — live, hands-on, taught by professionals in Dallas–Fort Worth, Houston, Austin, Oklahoma City, Denver, or online.

See the Formulas & Functions Class

Related functions: FACT · COMBIN · COMBINA · MULTINOMIAL · GCD