# IMPRODUCT

Returns the result of multiplying a series of complex numbers together.

### Sample Usage

`IMPRODUCT(A2:A100)`

`IMPRODUCT("1+2i",3,"4i")`

`IMPRODUCT("1+2i","3+5i",A2:A50)`

### Syntax

`IMPRODUCT(factor1, [factor2, ...])`

• `factor1` - The first complex number or range to calculate for the product.
• `factor2`, ... - [ OPTIONAL ] - More complex numbers to multiply by.

### Notes

• The product of two complex numbers is defined as follows:
• (a+bi)(c+di) = (ac-bd) + (ad+bc)i
• You can multiply complex numbers only if they have the same suffix (i or j). For example, you can't do `IMPRODUCT("4+3i", "1+2j")`.

3 `=IMPRODUCT(COMPLEX(3, 4), 2)` 6+8i
4 `=IMPRODUCT("3+4i", "2i", "2i")` -12-16i