MOD function

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


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


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.


  • 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)


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.




=MOD(3, 2)

Remainder of 3/2


=MOD(-3, 2)

Remainder of -3/2. The sign is the same as divisor


=MOD(3, -2)

Remainder of 3/-2. The sign is the same as divisor


=MOD(-3, -2)

Remainder of -3/-2. The sign is the same as divisor


Applies To: Excel 2016, Excel 2010, Excel Starter, Excel 2013, Excel Online, Excel 2016 for Mac, Excel for Mac 2011, Excel 2007

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