Python | sympy.factorint() method

Python | sympy.factorint() method

Last Updated : 05 Sep, 2019

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:

Python3

# 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))

Output:

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

Example #2:

Python3

# 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))

Output:

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

Python | sympy.factorint() method

rupesh_rao

Improve

Article Tags :

Python

Practice Tags :

python

Similar Reads

Python | sympy.factor() method

With the help of sympy.factor() method, we can find the factors of mathematical expressions in the form of variables by using sympy.factor() method. Syntax : sympy.factor(expression) Return : Return factor of mathematical expression. Example #1 : In this example we can see that by using sympy.factor

Python | sympy.factorial() method

With the help of sympy.factorial(), we can find the factorial of any number by using sympy.factorial() method. Syntax : sympy.factorial() Return : Return factorial of a number. Example #1 : In this example we can see that by using sympy.factorial(), we are able to find the factorial of number that i

Python | sympy.factor_list() method

With the help of sympy.factor_list() method, we can get a list of factors of a mathematical expression in SymPy in the form of (factor, power) tuple. Syntax: factor_list(expression) Parameters: expression - It is a mathematical expression. Returns: Returns a list of factors of the given mathematical

Python | sympy.factorial2() method

With the help of sympy.factorial2() method, we can find the Double factorial. Double factorial of a number is given by - n!! = \begin{cases} 1 & n = 0 \\ n(n-2)(n-4) \cdots 1 & n\ \text{positive odd} \\ n(n-2)(n-4) \cdots 2 & n\ \text{positive even} \\ (n+2)!!/(n+2) & n\ \text{negati

Python | sympy.cofactors() method

With the help of sympy.cofactors() method, we can find the cofactors of two numbers that is passed as a parameter in the sympy.cofactors() method. Syntax : sympy.cofactors(var1, var2) Return : Return tuple of cofactors. Example #1 : In this example we can see that by using sympy.cofactors() method,

Python | sympy.Function() method

With the help of sympy.Function() method, we can find the various functions in the whole mathematical expression like f(x), sin(x), log(x), etc by using sympy.Function() method. Syntax : sympy.Function() Return : Return the list of functions in mathematical operation. Example #1 : In this example we

Python | sympy.core() method

With the help of sympy.core() method, we can calculate the core_t(n) of a positive integer n. core(n, t) calculates the t-th power free part of n. If nâ€™s prime factorization is : n = \prod_{i=1}^\omega p_i^{m_i} then core_t(n) = \prod_{i=1}^\omega p_i^{m_i \mod t} Syntax: core(n, t=2) Parameter: n -

Python | sympy.asin() method

With the help of sympy.asin(x) method, we are able to find the inverse of sine theta. Syntax : sympy.asin(x) Return : Return the value of inverse sine theta. Example #1 : In the given example, we can see that by using sympy.asin(x) method, we can find the inverse of a sine theta. Python3 1=1 # impor

Python | sympy.doit() method

Using the doit() method in sympy module, we can evaluate objects that are not evaluated by default like limits, integrals, sums and products. Note that all objects of this kind will be evaluated recursively. Syntax : sympy.doit(x) Return : evaluated object Code #1: With the help of the below example

Python | sympy.apart() method

With the help of sympy.apart() method, we can performs a partial fraction decomposition on a rational mathematical expression. Syntax: apart(expression) Parameters: expression - It is a rational mathematical expression. Returns: Returns an expression after the partial decomposition. Example #1: In t