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Integer Functions
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Divisible
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BUILT-IN MATHEMATICA SYMBOL
Integer and Number Theoretic Functions
Tutorials »
|
Mod
GCD
Divisors
Quotient
CoprimeQ
PrimeQ
EvenQ
Round
See Also »
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Integer Functions
Mathematical Functions
Number Theoretic Functions
New in 6.0: Mathematics & Algorithms
New in 6.0: Number Theory & Integer Functions
More About »
Divisible
Divisible
yields
True
if
n
is divisible by
m
, and yields
False
if it is not.
MORE INFORMATION
Divisible
works for integers or rational numbers
n
and
m
.
Divisible
works with exact numeric quantities, as well as explicit numbers.
Divisible
works with exact complex numbers.
Divisible
yields
True
only if
is an integer.
Divisible
is effectively equivalent to
Mod
[
n
,
m
]==0
.
For exact numeric quantities,
Divisible
internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable
$MaxExtraPrecision
.
Divisible
can be entered as
.
can be entered as
\[Divides]
or
Esc
divides
Esc
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Test whether 10 is divisible by 3:
Test whether 10 is divisible by 3:
In[1]:=
Out[1]=
Scope
(3)
Divisible
works with numbers of any size:
Divisible
threads itself element-wise over lists:
Generalizations & Extensions
(5)
Symbolic forms of numeric quantities:
Rational numbers:
Gaussian integers:
Numeric quantities:
With symbolic inputs,
Divisible
stays unevaluated:
Applications
(3)
Select numbers that are divisible by 3:
Highlight numbers that are divisible by 3:
Show numbers that divide exactly:
Possible Issues
(2)
Divisible
is
False
unless
is an integer:
Divisible
does not automatically resolve the value:
SEE ALSO
Mod
GCD
Divisors
Quotient
CoprimeQ
PrimeQ
EvenQ
Round
TUTORIALS
Integer and Number Theoretic Functions
MORE ABOUT
Integer Functions
Mathematical Functions
Number Theoretic Functions
New in 6.0: Mathematics & Algorithms
New in 6.0: Number Theory & Integer Functions
New in 6