diff --git a/optimized_factorial.py b/optimized_factorial.py
new file mode 100644
index 0000000..df6d2a9
--- /dev/null
+++ b/optimized_factorial.py
@@ -0,0 +1,8 @@
+def factorial(a, n):
+    if n < 2:
+        return a
+    else:
+        return (factorial(n*a, n-1))
+
+
+print(factorial(1, 4))