diff --git a/maths/prime_factors.py b/maths/prime_factors.py
index e520ae3a6..e7a523be0 100644
--- a/maths/prime_factors.py
+++ b/maths/prime_factors.py
@@ -1,9 +1,18 @@
-"""
-python/black : True
-"""
 from __future__ import annotations
+from math import ceil, sqrt
+import time
 
+def timer(func):
+    def wrapper(*args, **kwargs):
+        start = time.time()
+        result = func(*args, **kwargs)
+        print(result)
+        end = time.time()
+        print(f"{func.__name__} took {end - start:.6f} seconds to execute.")
+        return result
+    return wrapper
 
+@timer
 def prime_factors(n: int) -> list[int]:
     """
     Returns prime factors of n as a list.
@@ -46,7 +55,65 @@ def prime_factors(n: int) -> list[int]:
     return factors
 
 
+@timer
+def primeproduct(num: int) -> list[int]:
+    """
+    >>> primeproduct(868)
+    [2, 2, 7, 31]
+    >>> primeproduct(9039423423423743)
+    [2, 2, 7, 31, 719, 12572216166097]
+    >>> primeproduct(0.02)
+    Traceback (most recent call last):
+    ValueError: invalid literal for int() with base 10: '0.02'
+    >>> primeproduct(-2342)
+    []
+    """
+
+    if num <= 1:
+        return []
+
+    prime_factors: list[int] = []
+    while num > 1:
+        if len(prime_factors) >= 1 and prime_factors[-1] % num == 0:
+            prime_factors.append(prime_factors[-1])
+
+        else:
+            sq = ceil(sqrt(num))
+            flag = 0
+
+            if prime_factors != []:
+                for i in range(prime_factors[-1], sq + 1, 2):
+                    if num % i == 0:
+                        num = num // i
+                        prime_factors.append(i)
+                        flag = 1
+                        break
+
+            else:
+                while num % 2 == 0:
+                    num = num // 2
+                    prime_factors.append(2)
+
+                for i in range(3, sq + 1, 2):
+                    if num % i == 0:
+                        num = num // i
+                        prime_factors.append(i)
+                        flag = 1
+                        break
+
+            if not flag and num > 1:
+                prime_factors.append(num)
+                num = 1
+                break
+
+    return prime_factors
+
+
+
 if __name__ == "__main__":
+    n = int(input('enter number: '))
+    primeproduct(n)
+    prime_factors(n)
     import doctest
 
     doctest.testmod()