Floor[x] gives the greatest integer less than or equal to x. Floor[x, a] gives the greatest multiple of a less than or equal to x.

Round down to the nearest integer: In[1]:=Floor[2.4] Out[1]=2 In[2]:=Floor[2.6] Out[2]=2 Round down to the nearest multiple of 10: In[1]:=Floor[226, 10] Out[1]=220 Plot over a subset of the reals: In[1]:=Plot[Floor[x, 10], {x, -30, 30}] Out[1]=

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Listable | NumericFunction | Protected | ReadProtected

Ceiling | Round | IntegerPart | Chop | Piecewise | BinCounts | Quantile | FindDivisions

121st most common (1 in 2650 symbols)

188th most common (1 in 2930 symbols)

275th most common (1 in 3650 symbols)

introduced in Version 1 (June 1988) last modified in Version 6 (May 2007)