Python | sympy.primeomega() method

With the help of sympy.primeomega() method, we can calculate the number of prime factors counting multiplicities for a given positive integer. For example, primeomega(12) = 3, since 12 = 2² * 3¹. Therefore, number of prime factors = sum of multiplicities of prime factors, 2 + 1 = 3.

Syntax: primeomega(n) Parameter: n - It denotes an integer. Returns: Returns the number of prime factors counting multiplicities for a given positive integer.

Example #1: Python3

# import primeomega() method from sympy
from sympy.ntheory.factor_ import primeomega

n = 24

# Use primeomega() method 
primeomega_n = primeomega(n) 
    
print(" Number of prime factors of {} = {} ".format(n, primeomega_n))

Output:

Number of prime factors of 24 = 4 

Example #2: Python3

# import primeomega() method from sympy
from sympy.ntheory.factor_ import primeomega

n = 120

# Use primeomega() method 
primeomega_n = primeomega(n) 
    
print(" Number of prime factors of {} = {} ".format(n, primeomega_n))

Output:

Number of prime factors of 120 = 5