Check if a large number is divisible by 75 or not

Given a very large number in the form of a string, the task is to check if the number is divisible by 75 or not.

Examples:

Input: N = 175
Output: No 

Input: N = 100000000000000000754586672150
Output: Yes

Approach: A number is divisible by 75 only if it is divisible by 3(if the sum of the digit is divisible by 3) and divisible by 25 (if the last two digit is divisible by 25) both.



Below is the implementation to check the given number is divisible by 75 or not.

C++

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// C++ implementation to check the number
// is divisible by 75 or not
#include <bits/stdc++.h>
using namespace std;
  
// check divisibleBy3
bool divisibleBy3(string number)
{
    // to store sum of Digit
    int sumOfDigit = 0;
  
    // traversing through each digit
    for (int i = 0; i < number.length(); i++)
        // summing up Digit
        sumOfDigit += number[i] - '0';
  
    // check if sumOfDigit is divisibleBy3
    if (sumOfDigit % 3 == 0)
        return true;
  
    return false;
}
  
// check divisibleBy25
bool divisibleBy25(string number)
{
    // if a single digit number
    if (number.length() < 2)
        return false;
  
    // length of the number
    int length = number.length();
  
    // taking the last two digit
    int lastTwo = (number[length - 2] - '0') * 10
                  + (number[length - 1] - '0');
  
    // checking if the lastTwo digit is divisibleBy25
    if (lastTwo % 25 == 0)
        return true;
  
    return false;
}
  
// Function to check divisibleBy75 or not
bool divisibleBy75(string number)
{
  
    // check if divisibleBy3 and divisibleBy25
    if (divisibleBy3(number) && divisibleBy25(number))
        return true;
  
    return false;
}
  
// Drivers code
int main()
{
    string number = "754586672150";
  
    // divisible
    bool divisible = divisibleBy75(number);
  
    // if divisibleBy75
    if (divisible)
        cout << "Yes";
    else
        cout << "No";
  
    return 0;
}

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Java














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// Java implementation to check the number 


// is divisible by 75 or not 


  


import java.io.*; 


  


class GFG { 


  


  


// check divisibleBy3 


static boolean divisibleBy3(String number) 


{ 


    // to store sum of Digit 


    int sumOfDigit = 0; 


  


    // traversing through each digit 


    for (int i = 0; i < number.length(); i++) 


        // summing up Digit 


        sumOfDigit += number.charAt(i) - '0'; 


  


    // check if sumOfDigit is divisibleBy3 


    if (sumOfDigit % 3 == 0) 


        return true; 


  


    return false; 


} 


  


// check divisibleBy25 


static  boolean divisibleBy25(String number) 


{ 


    // if a single digit number 


    if (number.length() < 2) 


        return false; 


  


    // length of the number 


    int length = number.length(); 


  


    // taking the last two digit 


    int lastTwo = (number.charAt(length - 2) - '0') * 10


                + (number.charAt(length - 1) - '0'); 


  


    // checking if the lastTwo digit is divisibleBy25 


    if (lastTwo % 25 == 0) 


        return true; 


  


    return false; 


} 


  


// Function to check divisibleBy75 or not 


static boolean divisibleBy75(String number) 


{ 


  


    // check if divisibleBy3 and divisibleBy25 


    if (divisibleBy3(number) && divisibleBy25(number)) 


        return true; 


  


    return false; 


} 


  


// Drivers code 


  


    public static void main (String[] args) { 


    String number = "754586672150"; 


  


    // divisible 


    boolean divisible = divisibleBy75(number); 


  


    // if divisibleBy75 


    if (divisible) 


        System.out.println( "Yes"); 


    else


        System.out.println( "No"); 


    } 


} 


// This code is contributed  


// by inder_verma.. 



















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Python3














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# Python 3 implementation to check the  


# number is divisible by 75 or not 


  


# check divisibleBy3 


def divisibleBy3(number): 


      


    # to store sum of Digit 


    sumOfDigit = 0


  


    # traversing through each digit 


    for i in range(0, len(number), 1): 


          


        # summing up Digit 


        sumOfDigit += ord(number[i]) - ord('0') 


  


    # check if sumOfDigit is divisibleBy3 


    if (sumOfDigit % 3 == 0): 


        return True


  


    return False


  


# check divisibleBy25 


def divisibleBy25(number): 


      


    # if a single digit number 


    if (len(number) < 2): 


        return False


  


    # length of the number 


    length = len(number) 


  


    # taking the last two digit 


    lastTwo = ((ord(number[length - 2]) - 


                ord('0')) * 10 + 


               (ord(number[length - 1]) - ord('0'))) 


  


    # checking if the lastTwo digit  


    # is divisibleBy25 


    if (lastTwo % 25 == 0): 


        return True


  


    return False


  


# Function to check divisibleBy75 or not 


def divisibleBy75(number): 


      


    # check if divisibleBy3 and divisibleBy25 


    if (divisibleBy3(number) and 


        divisibleBy25(number)): 


        return True


  


    return False


  


# Driver Code 


if __name__ == '__main__': 


    number = "754586672150"


  


    # divisible 


    divisible = divisibleBy75(number) 


  


    # if divisibleBy75 


    if (divisible): 


        print("Yes") 


    else: 


        print("No") 


  


# This code is contributed by  


# Surendra_Gangwar 



















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C#














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// C# implementation to check the number 


// is divisible by 75 or not 


using System; 


  


class GFG  


{ 


  


// check divisibleBy3 


static bool divisibleBy3(string number) 


{ 


    // to store sum of Digit 


    int sumOfDigit = 0; 


  


    // traversing through each digit 


    for (int i = 0; i < number.Length; i++) 


      


        // summing up Digit 


        sumOfDigit += number[i] - '0'; 


  


    // check if sumOfDigit is divisibleBy3 


    if (sumOfDigit % 3 == 0) 


        return true; 


  


    return false; 


} 


  


// check divisibleBy25 


static bool divisibleBy25(string number) 


{ 


    // if a single digit number 


    if (number.Length < 2) 


        return false; 


  


    // length of the number 


    int length = number.Length; 


  


    // taking the last two digit 


    int lastTwo = (number[length - 2] - '0') * 10 +  


                  (number[length - 1] - '0'); 


  


    // checking if the lastTwo digit 


    // is divisibleBy25 


    if (lastTwo % 25 == 0) 


        return true; 


  


    return false; 


} 


  


// Function to check divisibleBy75 or not 


static bool divisibleBy75(string number) 


{ 


  


    // check if divisibleBy3 and divisibleBy25 


    if (divisibleBy3(number) && divisibleBy25(number)) 


        return true; 


  


    return false; 


} 


  


// Driver Code 


public static void Main ()  


{ 


    string number = "754586672150"; 


      


    // divisible 


    bool divisible = divisibleBy75(number); 


      


    // if divisibleBy75 


    if (divisible) 


        Console.WriteLine( "Yes"); 


    else


        Console.WriteLine( "No"); 


} 


} 


  


// This code is contributed  


// by inder_verma.. 



















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PHP














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<?php 


// PHP implementation to check the  


// number is divisible by 75 or not 


  


// check divisibleBy3 


function divisibleBy3($number) 


{ 


    // to store sum of Digit 


    $sumOfDigit = 0; 


  


    // traversing through each digit 


    for ($i = 0;  


         $i < strlen($number); $i++) 


        // summing up Digit 


        $sumOfDigit += $number[$i] - '0'; 


  


    // check if sumOfDigit is  


    // divisibleBy3 


    if ($sumOfDigit % 3 == 0) 


        return true; 


  


    return false; 


} 


  


// check divisibleBy25 


function divisibleBy25($number) 


{ 


    // if a single digit number 


    if (strlen($number) < 2) 


        return false; 


  


    // length of the number 


    $length = strlen($number); 


  


    // taking the last two digit 


    $lastTwo = ($number[$length - 2] - '0') * 10 +  


               ($number[$length - 1] - '0'); 


  


    // checking if the lastTwo digit 


    // is divisibleBy25 


    if ($lastTwo % 25 == 0) 


        return true; 


  


    return false; 


} 


  


// Function to check divisibleBy75 or not 


function divisibleBy75($number) 


{ 


  


    // check if divisibleBy3 and  


    // divisibleBy25 


    if (divisibleBy3($number) &&  


        divisibleBy25($number)) 


        return true; 


  


    return false; 


} 


  


// Driver Code 


$number = "754586672150"; 


  


// divisible 


$divisible = divisibleBy75($number); 


  


// if divisibleBy75 


if ($divisible) 


    echo "Yes"; 


else


    echo "No"; 


      


// This code is contributed by ANKITRAI1 


?> 



















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Output:


No








    

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