MOD function

This article describes the formula syntax and usage of the MOD function in Microsoft Excel.

Description

Returns the remainder after number is divided by divisor. The result has the same sign as divisor.

Syntax

MOD(number, divisor)

The MOD function syntax has the following arguments:

• Number    Required. The number for which you want to find the remainder.

• Divisor    Required. The number by which you want to divide number.

Remarks

• If divisor is 0, MOD returns the #DIV/0! error value.

• The MOD function can be expressed in terms of the INT function:

MOD(n, d) = n - d*INT(n/d)

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Formula	Description	Result
=MOD(3, 2)	Remainder of 3/2	1
=MOD(-3, 2)	Remainder of -3/2. The sign is the same as divisor	1
=MOD(3, -2)	Remainder of 3/-2. The sign is the same as divisor	-1
=MOD(-3, -2)	Remainder of -3/-2. The sign is the same as divisor	-1