Mathematica 9 is now available
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Mathematica > Mathematics and Algorithms > Numerical Evaluation & Precision > Representation of Numbers >
Mathematica > Core Language > Expressions > Expression Structure > Atomic Elements of Expressions > Representation of Numbers >
Built-in Mathematica SymbolTutorials »|See Also »|More About »

IntegerExponent

IntegerExponent[n, b]
gives the highest power of b that divides n.
  • Integer mathematical function, suitable for both symbolic and numerical manipulation.
  • IntegerExponent[n, b] gives the number of trailing zeros in the digits of n in base b.
EXAMPLESCLOSE ALL
Basic Examples   (3)
The number of trailing zeros:
The highest power of 2:
Plot it:
The number of trailing zeros:
In[1]:=
Click for copyable input
Out[1]=
 
The highest power of 2:
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
 
Plot it:
In[1]:=
Click for copyable input
Out[1]=
Applications   (2)
Number of trailing zeros in factorials:
Powers of 2 in successive integers:
Properties & Relations   (1)
Find the highest power of 2 that appears in the factors of a number:
Neat Examples   (1)
A "formula" for DigitCount:
New in 4
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team