Python Program to print all the numbers divisible by 3 and 5 for a given number

Given the integer N, the task is to print all the numbers less than N, which are divisible by 3 and 5.
Examples :

Input : 50
Output : 0 15 30 45 

Input : 100
Output : 0 15 30 45 60 75 90 

Approach: For example, let’s take N = 20 as a limit, then the program should print all numbers less than 20 which are divisible by both 3 and 5. For this divide each number from 0 to N by both 3 and 5 and check their remainder. If remainder is 0 in both cases then simply print that number.

Below is the implementation : 

Python3

# Python program to print all the numbers
# divisible by 3 and 5 for a given number

# Result function with N
def result(N):

    # iterate from 0 to N
    for num in range(N):

            # Short-circuit operator is used
            if num % 3 == 0 and num % 5 == 0:
                print(str(num) + " ", end = "")

            else:
                pass

# Driver code
if __name__ == "__main__":

    # input goes here
    N = 100

    # Calling function
    result(N)

Output

0 15 30 45 60 75 90 

Time Complexity: O(N)
Auxiliary Space: O(1)

Alternative Method: This can also be done by checking if the number is divisible by 15, since the LCM of 3 and 5 is 15 and any number divisible by 15 is divisible by 3 and 5 and vice versa also. 

Python3

# python code to print numbers that
# are divisible by 3 and 5
n=50
for i in range(0,n):
  # lcm of 3 and 5 is 15
  if i%15==0:
    print(i,end=" ")

Output

0 15 30 45 

Time Complexity: O(n)
Auxiliary Space: O(1)

Alternate Method:Using list comprehension.

Python3

# python code to print numbers that
# are divisible by 3 and 5 using list comprehension
n = 50
result = [i for i in range(n) if i%3==0 and i%5==0]
print(result)

Output

[0, 15, 30, 45]

Time Complexity: O(n)
Auxiliary Space: O(n)

Please refer complete article on Program to print all the numbers divisible by 3 and 5 for a given number for more details!