Efficient Program to Print All Prime Factors of a Given Number in Python

In this article, we will learn about the solution to the problem statement given below.

Problem statement − We are given a number, we need to find all the prime factors of a given number.

The efficient solution to the problem is discussed below −

Example

 Live Demo

# Python program to print prime factors
import math
# prime
def primeFactors(n):
   # no of even divisibility
   while n % 2 == 0:
      print (2),
      n = n / 2
   # n reduces to become odd
   for i in range(3,int(math.sqrt(n))+1,2):
      # while i divides n
      while n % i== 0:
         print (i)
         n = n / i
   # if n is a prime
   if n > 2:
      print (n)
n = 200
primeFactors(n)

Output

2
2
2
5
5

All the variables and functions are declared in the global scope as shown in the figure above.

Conclusion

In this article, we have learned how we can print all prime factors of a given number efficiently.