# FLOOR.MATH function

This article describes the formula syntax and usage of the FLOOR.MATH function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.

## Description

Round a number down to the nearest integer or to the nearest multiple of significance.

## Syntax

`FLOOR.MATH(number, significance, mode)`

The FLOOR.MATH function syntax has the following arguments.

• Number    Required. The number to be rounded down.
• Significance    Optional. The multiple to which you want to round.
• Mode    Optional. The direction (toward or away from 0) to round negative numbers.

## Remarks

• By default, positive numbers with decimal portions are rounded down to the nearest integer. For example, 6.3 is rounded down to 6, using the default Significance (1).
• By default, negative numbers with decimal portions are rounded away from 0 to the nearest integer. For example, -6.7 is rounded to -7.
• By using 0 or a negative number as the Mode argument, you can change the direction of the rounding for negative numbers. For example, rounding -6.3 with a Significance of 1 and a Mode of -1 rounds toward 0, to -6.
• The Significance argument rounds the number down to the nearest integer that is a multiple of the significance specified. The exception is where the number to be rounded is an integer. For example, for a Significance of 3, the number is rounded down to the next integer that is a multiple of 3.
• If Number divided by a Significance of 2 or greater results in a remainder, the result is rounded down.

## Example

The workbook below shows examples of this function. Inspect them, change existing formulas, or enter your own formulas to learn how the function works.

To work more in-depth with the example data in Excel, download the embedded workbook to your computer, and then open it in Excel.

Applies to:
Excel 2013, Excel Online