Python | sympy.factorint() method

With the help of sympy.factorint() method, we can find the factors and their corresponding multiplicities of a given integer. For input less than 2, factorint() behaves as follows:

  • factorint(1) – returns the empty factorization {}.
  • factorint(0) – returns {0:1}.
  • factorint(-n) – adds -1:1 to the factors and then factors n.

Syntax:
factorint(n)

Parameter:
n – It denotes an integer.



Returns:
Returns a dictionary containing the prime factors of n as keys
and their respective multiplicities as values.

Example #1:

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# import factorint() method from sympy
from sympy import factorint
  
n = 2**3 * 3**4 * 5**6
  
# Use factorint() method 
factor_dict = factorint(n) 
      
print("Dictionary containing factors of {} with respective multiplicities : {}".
      format(n, factor_dict))

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Output:

Dictionary containing factors of 10125000 
with respective multiplicities : {2: 3, 3: 4, 5: 6}

Example #2:

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# import factorint() method from sympy
from sympy import factorint
  
n = 6**4 * 13
  
# Use factorint() method 
factor_dict = factorint(n) 
      
print("Dictionary containing factors of {} with respective multiplicities : {}".
      format(n, factor_dict))

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Output:

Dictionary containing factors of 16848 
with respective multiplicities : {2: 4, 3: 4, 13: 1}


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