How to Use IMPRODUCT Function in Excel (4 Examples)

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Certainly, while working in Excel, we may have to deal with imaginary numbers. Luckily, Excel has a palette of functions for calculating complex numbers. In this tutorial, we’ll learn about how to use the IMPRODUCT function in Excel for multiplying two complex numbers. In addition, we’ll also explore its quirks and features.

Overview of Excel IMPRODUCT Function

The above screenshot is an overview of the article, which represents the application of the IMPRODUCT function in Excel. In the following sections, you’ll learn more about the dataset as well as how to use the function.

Introduction to Excel IMPRODUCT Function

  • Function Objective:

Simply put, the IMPRODUCT function returns the product of complex numbers, up to a maximum of 255 numbers.

  • Syntax:
=IMPRODUCT (inumber1,[inumber2])

Syntax for Excel IMPRODUCT Function

  • Arguments Explanation:
Argument Required/Optional Explanation
inumber1 Required The first complex number
[inumber2] Optional The second complex number
  • Return Parameter:

In this case, the product of the complex numbers specified in the arguments.

  • Version:

For one thing, the IMPRODUCT function was introduced in Excel 2007 and is available in all versions after that.

Excel IMPRODUCT Function: 4 Examples

First and foremost, let’s consider the list of imaginary numbers dataset shown in the B4:C12 cells containing Complex Number 1and Complex Number 2 columns respectively. Here, we want to multiply the two complex numbers using the IMPRODUCT function in Excel. Henceforth, without further delay, let’s see each example in detail and with the necessary illustrations.

Dataset for applying IMPRODUCT function

Here, we have used the Microsoft Excel 365 version; you may use any other version according to your convenience.

1. Calculating Product of Two Imaginary Numbers

First of all, let’s begin with a simple example of multiplying two complex numbers using the IMPRODUCT function.

📌 Steps:

  • Initially, go to the D5 cell >> enter the expression given below.


Here, the “1+9i” and the “2-5i” are the two complex numbers that are multiplied together.

Calculating Product of Two Imaginary Numbers

Voila! That is how simple it is to obtain the product of two complex numbers in Excel.

2. Multiplying Real and Imaginary Numbers

In addition, we can multiply a real and complex number to get their product. So, let’s see it in action.

📌 Steps:

  • At the very beginning, move to the D5 cell >> type in the expression given below.


In this case, the -1 and “2-5i” represent the real and complex numbers respectively.

Multiplying One Real and One Imaginary Number

3. Using Cell Reference to Compute the Product of Complex Numbers

Alternatively, we can specify the cell references of the complex numbers to compute their products. Hence, just follow along.

📌 Steps:

  • To begin with, insert the expression into the D5 cell >> drag the Fill Handle tool to copy the formula to the cells.


For instance, the B5 and C5 cells indicate the complex numbers “1+9i” and “2-5i”.

Using Cell Reference to Compute the Product of Complex Numbers

4. Combining Excel COMPLEX and IMPRODUCT Functions

For one thing, we can combine the COMPLEX and IMPRODUCT functions to get the results of the multiplication of two complex numbers.

📌 Steps:

  • First of all, click the D5 cell >> enter the formula into the formula bar.


Formula Breakdown

  • COMPLEX(1,9) → converts real and imaginary coefficients into complex number. Here, 1 and 9 are the inumber arguments where 1 is the coefficient of the real number and 9 is the coefficient of the complex number
    • Output → “1+9i”
  • COMPLEX(2,-5) → “2-5i”
  • IMPRODUCT(COMPLEX(1,9),COMPLEX(2,-5)) → becomes
    • IMPRODUCT(“1+9i”,“2-5i”) → returns the product of complex numbers. Here, “1+9i” and “2-5i” are the inumber arguments.
    • Output → “47+13i”

Combining COMPLEX and IMPRODUCT Functions

Common Errors While Using the IMPRODUCT Function in Excel

Furthermore, in this section, we’ll discuss the possible errors we may encounter while using the IMPRODUCT function in Excel.

Error Occurrence
#NUM! other letters (except “i” and “j”) or non-numeric characters in the argument.
#VALUE! logical values (TRUE or FALSE) in the argument.
  • In the first place, the function may return the #NUM! Error if the inumber argument contains the other letters instead of i and j or contains any non-numeric characters like &, *.

Returning #NUM! Error

  • Additionally, we may face the #VALUE! Error in case the inumber argument is a logical value like TRUE or FALSE.

Returning #VALUE! Error

Things to Remember

As a note, here are a few things to note when using the IMPRODUCT function in Excel.

  • First, the IMPRODUCT function accepts complex numbers as texts containing only the lowercase letters i and j.
  • Second, it can handle a maximum of 255 complex numbers.

Practice Section

Moreover, we’ve provided a Practice section on the right side of each sheet so you can practice yourself. Please make sure to do it by yourself.

Practice Section

Download Practice Workbook


In essence, this article shows 4 effective ways to use the IMPRODUCT function in Excel. So, read the full article carefully and download the free workbook to practice.

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Eshrak Kader
Eshrak Kader

Hello! Welcome to my Profile. I completed my BSc. at Bangladesh University of Engineering & Technology from the Department of Naval Architecture & Marine Engineering. Currently, I am conducting research & posting articles related to Microsoft Excel. I am passionate about research & development and finding innovative solutions to problems.

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