Python Program to Print all the Numbers Divisible by 3 and 5 for a given Number

Given an integer n, the task is to print all the numbers less than N that are divisible by both 3 and 5. A number divisible by both must be divisible by their LCM = 15. For Example:

Input: 50
Output: 0 15 30 45

Using for Loop with Step Size of 15

This method uses a for loop that jumps directly in steps of 15, since every number divisible by both 3 and 5 must be a multiple of 15. Thus, we avoid checking every number.

0 15 30 45 60 75 90 

Explanation:

• range(0, n, 15) produces numbers like 0, 15, 30, ...
• Each value is automatically divisible by 3 and 5.

Using Modulo Operator (% 15)

This method checks divisibility using a single modulo condition. If a number is divisible by 15, it is divisible by both 3 and 5.

0 15 30 45 60 75 90 

Explanation:

• for i in range(n): Loops from 0 to 99.
• i % 15 == 0 Checks if the remainder is zero when i is divided by 15.

Using Modulo Operator (% 3 and % 5 Separately)

This method checks divisibility by checking both conditions separately.

0 15 30 45 60 75 90 

Explanation:

• i % 3 == 0 checks divisibility by 3.
• i % 5 == 0 checks divisibility by 5.
• Both must be true to print the number.

Using List Comprehension

This method generates all required numbers in a single expression and prints them.

0 15 30 45 60 75 90

Explanation:

• List comprehension creates a list of all values where i % 15 == 0.
• print(*nums) prints the list items in a single line.