Posted on by Kalkicode
Code Mathematics

# Check that if large number is divisible by 12

To check if a large number is divisible by 12, you need to see if it is evenly divisible by 12 without leaving a remainder. In other words, if you divide the number by 12, the result should be a whole number.

There are different methods to check if a number is divisible by 12, but one common way is to check if it is divisible by both 3 and 4. To do this, you can add up the digits of the number and see if the sum is divisible by 3. If it is, then you can check if the last two digits of the number form a number that is divisible by 4. If both conditions are met, then the number is divisible by 12.

For example, let's say you want to check if the number 1,234,560 is divisible by 12.

Step 1: Add up the digits of the number:

1 + 2 + 3 + 4 + 5 + 6 + 0 = 21

Step 2: Check if the sum is divisible by 3:

21 is divisible by 3, since 21/3 = 7.

Step 3: Check if the last two digits of the number form a number that is divisible by 4:

The last two digits of the number are 60, which is divisible by 4, since 60/4 = 15.

Since both conditions are met, we can conclude that 1,234,560 is divisible by 12.

## Code Solution

``````// Java program for
// Check that if large number is divisible by 12
public class Divisibility
{
public void isDivisibleBy12(String num)
{
// Condition
// ➀  Number should be divisible by 2
// ➁  Number should be divisible by 3
// ➂  Last two digit is divisible by 4
boolean result = false;
int n = num.length();
if (n == 1 && num.charAt(0) == '0')
{
// When given number is zero
result = true;
}
if (n > 1)
{
if (num.charAt(n - 1) == '0' ||
num.charAt(n - 1) == '2' ||
num.charAt(n - 1) == '4' ||
num.charAt(n - 1) == '6' ||
num.charAt(n - 1) == '8')
{
// Number is divisible by 2
// Condition 2
// Check that if number is divisible by 3 or not
int sum = 0;
// Calculate sum of all digit
for (int i = 0; i < n; ++i)
{
sum += (num.charAt(i) - 48);
}
// Condition 3
int lastTwo = (num.charAt(n - 2) - 48) * 10 +
(num.charAt(n - 1) - 48);
if (lastTwo % 4 == 0 && sum % 3 == 0)
{
result = true;
}
}
}
if (result == true)
{
System.out.print(" Given number (" +
num + ") is divisible by 12\n");
}
else
{
System.out.print(" Given number (" +
num + ") is not divisible by 12\n");
}
}
public static void main(String[] args)
{
// Test
}
}``````

#### Output

`````` Given number (324) is divisible by 12
Given number (32473248726872398347612) is divisible by 12
Given number (234234242) is not divisible by 12
Given number (34534567567686558438) is not divisible by 12``````
``````// Include header file
#include <iostream>
#include <string>

using namespace std;
// C++ program for
// Check that if large number is divisible by 12
class Divisibility
{
public: void isDivisibleBy12(string num)
{
// Condition
// ➀  Number should be divisible by 2
// ➁  Number should be divisible by 3
// ➂  Last two digit is divisible by 4
bool result = false;
int n = num.length();
if (n == 1 && num == '0')
{
// When given number is zero
result = true;
}
if (n > 1)
{
if (num[n - 1] == '0' ||
num[n - 1] == '2' ||
num[n - 1] == '4' ||
num[n - 1] == '6' ||
num[n - 1] == '8')
{
// Number is divisible by 2
// Condition 2
// Check that if number is divisible by 3 or not
int sum = 0;
// Calculate sum of all digit
for (int i = 0; i < n; ++i)
{
sum += (num[i] - 48);
}
// Condition 3
int lastTwo = (num[n - 2] - 48) * 10 + (num[n - 1] - 48);
if (lastTwo % 4 == 0 && sum % 3 == 0)
{
result = true;
}
}
}
if (result == true)
{
cout << " Given number (" << num << ") is divisible by 12\n";
}
else
{
cout << " Given number (" << num << ") is not divisible by 12\n";
}
}
};
int main()
{
// Test
return 0;
}``````

#### Output

`````` Given number (324) is divisible by 12
Given number (32473248726872398347612) is divisible by 12
Given number (234234242) is not divisible by 12
Given number (34534567567686558438) is not divisible by 12``````
``````// Include namespace system
using System;
// Csharp program for
// Check that if large number is divisible by 12
public class Divisibility
{
public void isDivisibleBy12(String num)
{
// Condition
// ➀  Number should be divisible by 2
// ➁  Number should be divisible by 3
// ➂  Last two digit is divisible by 4
Boolean result = false;
int n = num.Length;
if (n == 1 && num == '0')
{
// When given number is zero
result = true;
}
if (n > 1)
{
if (num[n - 1] == '0' ||
num[n - 1] == '2' ||
num[n - 1] == '4' ||
num[n - 1] == '6' ||
num[n - 1] == '8')
{
// Number is divisible by 2
// Condition 2
// Check that if number is divisible by 3 or not
int sum = 0;
// Calculate sum of all digit
for (int i = 0; i < n; ++i)
{
sum += (num[i] - 48);
}
// Condition 3
int lastTwo = (num[n - 2] - 48) * 10 + (num[n - 1] - 48);
if (lastTwo % 4 == 0 && sum % 3 == 0)
{
result = true;
}
}
}
if (result == true)
{
Console.Write(" Given number (" + num + ") is divisible by 12\n");
}
else
{
Console.Write(" Given number (" + num + ") is not divisible by 12\n");
}
}
public static void Main(String[] args)
{
// Test
}
}``````

#### Output

`````` Given number (324) is divisible by 12
Given number (32473248726872398347612) is divisible by 12
Given number (234234242) is not divisible by 12
Given number (34534567567686558438) is not divisible by 12``````
``````package main
import "fmt"
// Go program for
// Check that if large number is divisible by 12

func isDivisibleBy12(num string) {
// Condition
// ➀  Number should be divisible by 2
// ➁  Number should be divisible by 3
// ➂  Last two digit is divisible by 4
var result bool = false
var n int = len(num)
if n == 1 && num == '0' {
// When given number is zero
result = true
}
if n > 1 {
if num[n - 1] == '0' ||
num[n - 1] == '2' ||
num[n - 1] == '4' ||
num[n - 1] == '6' ||
num[n - 1] == '8' {
// Number is divisible by 2
// Condition 2
// Check that if number is divisible by 3 or not
var sum int = 0
// Calculate sum of all digit
for i := 0 ; i < n ; i++ {
sum += (int(num[i]) - 48)
}
// Condition 3
var lastTwo int = (int(num[n - 2]) - 48) * 10 + (int(num[n - 1]) - 48)
if lastTwo % 4 == 0 && sum % 3 == 0 {
result = true
}
}
}
if result == true {
fmt.Print(" Given number (", num, ") is divisible by 12\n")
} else {
fmt.Print(" Given number (", num, ") is not divisible by 12\n")
}
}
func main() {

// Test
isDivisibleBy12("324")
isDivisibleBy12("32473248726872398347612")
isDivisibleBy12("234234242")
isDivisibleBy12("34534567567686558438")
}``````

#### Output

`````` Given number (324) is divisible by 12
Given number (32473248726872398347612) is divisible by 12
Given number (234234242) is not divisible by 12
Given number (34534567567686558438) is not divisible by 12``````
``````<?php
// Php program for
// Check that if large number is divisible by 12
class Divisibility
{
public	function isDivisibleBy12(\$num)
{
// Condition
// ➀  Number should be divisible by 2
// ➁  Number should be divisible by 3
// ➂  Last two digit is divisible by 4
\$result = false;
\$n = strlen(\$num);
if (\$n == 1 && \$num == '0')
{
// When given number is zero
\$result = true;
}
if (\$n > 1)
{
if (\$num[\$n - 1] == '0' ||
\$num[\$n - 1] == '2' ||
\$num[\$n - 1] == '4' ||
\$num[\$n - 1] == '6' ||
\$num[\$n - 1] == '8')
{
// Number is divisible by 2
// Condition 2
// Check that if number is divisible by 3 or not
\$sum = 0;
// Calculate sum of all digit
for (\$i = 0; \$i < \$n; ++\$i)
{
\$sum += (ord(\$num[\$i]) - 48);
}
// Condition 3
\$lastTwo = (ord(\$num[\$n - 2]) - 48) * 10 +
(ord(\$num[\$n - 1]) - 48);
if (\$lastTwo % 4 == 0 && \$sum % 3 == 0)
{
\$result = true;
}
}
}
if (\$result == true)
{
echo(" Given number (".\$num.
") is divisible by 12\n");
}
else
{
echo(" Given number (".\$num.
") is not divisible by 12\n");
}
}
}

function main()
{
// Test
}
main();``````

#### Output

`````` Given number (324) is divisible by 12
Given number (32473248726872398347612) is divisible by 12
Given number (234234242) is not divisible by 12
Given number (34534567567686558438) is not divisible by 12``````
``````// Node JS program for
// Check that if large number is divisible by 12
class Divisibility
{
isDivisibleBy12(num)
{
// Condition
// ➀  Number should be divisible by 2
// ➁  Number should be divisible by 3
// ➂  Last two digit is divisible by 4
var result = false;
var n = num.length;
if (n == 1 && num.charAt(0) == '0')
{
// When given number is zero
result = true;
}
if (n > 1)
{
if (num.charAt(n - 1) == '0' ||
num.charAt(n - 1) == '2' ||
num.charAt(n - 1) == '4' ||
num.charAt(n - 1) == '6' ||
num.charAt(n - 1) == '8')
{
// Number is divisible by 2
// Condition 2
// Check that if number is divisible by 3 or not
var sum = 0;
// Calculate sum of all digit
for (var i = 0; i < n; ++i)
{
sum += (num.charAt(i).charCodeAt(0) - 48);
}
// Condition 3
var lastTwo = (num.charCodeAt(n - 2) - 48) * 10 +
(num.charCodeAt(n - 1) - 48);
if (lastTwo % 4 == 0 && sum % 3 == 0)
{
result = true;
}
}
}
if (result == true)
{
console.log(" Given number (" + num
+ ") is divisible by 12");
}
else
{
console.log(" Given number (" + num
+ ") is not divisible by 12");
}
}
}

function main()
{
// Test
}
main();``````

#### Output

`````` Given number (324) is divisible by 12
Given number (32473248726872398347612) is divisible by 12
Given number (234234242) is not divisible by 12
Given number (34534567567686558438) is not divisible by 12``````
``````#  Python 3 program for
#  Check that if large number is divisible by 12
class Divisibility :
def isDivisibleBy12(self, num) :
#  Condition
#  ➀  Number should be divisible by 2
#  ➁  Number should be divisible by 3
#  ➂  Last two digit is divisible by 4
result = False
n = len(num)
if (n == 1 and num == '0') :
#  When given number is zero
result = True

if (n > 1) :
if (num[n - 1] == '0'
or num[n - 1] == '2'
or num[n - 1] == '4'
or num[n - 1] == '6'
or num[n - 1] == '8') :
#  Number is divisible by 2
#  Condition 2
#  Check that if number is divisible by 3 or not
sum = 0
i = 0
#  Calculate sum of all digit
while (i < n) :
sum += (ord(num[i]) - 48)
i += 1

#  Condition 3
lastTwo = (ord(num[n - 2]) - 48) * 10 + (ord(num[n - 1]) - 48)
if (lastTwo % 4 == 0 and sum % 3 == 0) :
result = True

if (result == True) :
print(" Given number (", num ,") is divisible by 12")
else :
print(" Given number (", num ,") is not divisible by 12")

def main() :
#  Test

if __name__ == "__main__": main()``````

#### Output

`````` Given number ( 324 ) is divisible by 12
Given number ( 32473248726872398347612 ) is divisible by 12
Given number ( 234234242 ) is not divisible by 12
Given number ( 34534567567686558438 ) is not divisible by 12``````
``````#  Ruby program for
#  Check that if large number is divisible by 12
class Divisibility
def isDivisibleBy12(num)
#  Condition
#  ➀  Number should be divisible by 2
#  ➁  Number should be divisible by 3
#  ➂  Last two digit is divisible by 4
result = false
n = num.length
if (n == 1 && num == '0')
#  When given number is zero
result = true
end

if (n > 1)
if (num[n - 1] == '0' ||
num[n - 1] == '2' ||
num[n - 1] == '4' ||
num[n - 1] == '6' ||
num[n - 1] == '8')
#  Number is divisible by 2
#  Condition 2
#  Check that if number is divisible by 3 or not
sum = 0
i = 0
#  Calculate sum of all digit
while (i < n)
sum += (num[i].ord - 48)
i += 1
end

#  Condition 3
lastTwo = (num[n - 2].ord - 48) * 10 +
(num[n - 1].ord - 48)
if (lastTwo % 4 == 0 && sum % 3 == 0)
result = true
end

end

end

if (result == true)
print(" Given number (", num ,") is divisible by 12\n")
else

print(" Given number (", num ,") is not divisible by 12\n")
end

end

end

def main()
#  Test
end

main()``````

#### Output

`````` Given number (324) is divisible by 12
Given number (32473248726872398347612) is divisible by 12
Given number (234234242) is not divisible by 12
Given number (34534567567686558438) is not divisible by 12
``````
``````import scala.collection.mutable._;
// Scala program for
// Check that if large number is divisible by 12
class Divisibility()
{
def isDivisibleBy12(num: String): Unit = {
// Condition
// ➀  Number should be divisible by 2
// ➁  Number should be divisible by 3
// ➂  Last two digit is divisible by 4
var result: Boolean = false;
var n: Int = num.length();
if (n == 1 && num.charAt(0) == '0')
{
// When given number is zero
result = true;
}
if (n > 1)
{
if (num.charAt(n - 1) == '0' ||
num.charAt(n - 1) == '2' ||
num.charAt(n - 1) == '4' ||
num.charAt(n - 1) == '6' ||
num.charAt(n - 1) == '8')
{
// Number is divisible by 2
// Condition 2
// Check that if number is divisible by 3 or not
var sum: Int = 0;
var i: Int = 0;
// Calculate sum of all digit
while (i < n)
{
sum += (num.charAt(i).toInt - 48);
i += 1;
}
// Condition 3
var lastTwo: Int = (num.charAt(n - 2).toInt - 48) * 10 +
(num.charAt(n - 1).toInt - 48);
if (lastTwo % 4 == 0 && sum % 3 == 0)
{
result = true;
}
}
}
if (result == true)
{
print(" Given number (" + num + ") is divisible by 12\n");
}
else
{
print(" Given number (" + num + ") is not divisible by 12\n");
}
}
}
object Main
{
def main(args: Array[String]): Unit = {
var task: Divisibility = new Divisibility();
// Test
}
}``````

#### Output

`````` Given number (324) is divisible by 12
Given number (32473248726872398347612) is divisible by 12
Given number (234234242) is not divisible by 12
Given number (34534567567686558438) is not divisible by 12``````
``````import Foundation;
// Swift 4 program for
// Check that if large number is divisible by 12
class Divisibility
{
func isDivisibleBy12(_ v: String)
{
let num = Array(v);
// Condition
// ➀  Number should be divisible by 2
// ➁  Number should be divisible by 3
// ➂  Last two digit is divisible by 4
var result: Bool = false;
let n: Int = num.count;
if (n == 1 && num == "0")
{
// When given number is zero
result = true;
}
if (n > 1)
{
if (num[n - 1] == "0" ||
num[n - 1] == "2" ||
num[n - 1] == "4" ||
num[n - 1] == "6" ||
num[n - 1] == "8")
{
// Number is divisible by 2
// Condition 2
// Check that if number is divisible by 3 or not
var sum: Int = 0;
var i: Int = 0;
// Calculate sum of all digit
while (i < n)
{
sum += (Int(UnicodeScalar(String(num[i]))!.value) - 48);
i += 1;
}
// Condition 3
let lastTwo: Int = (Int(UnicodeScalar(String(num[n - 2]))!.value)
- 48) * 10 +
(Int(UnicodeScalar(String(num[n - 1]))!.value) - 48);
if (lastTwo % 4 == 0 && sum % 3 == 0)
{
result = true;
}
}
}
if (result == true)
{
print(" Given number (", v ,") is divisible by 12");
}
else
{
print(" Given number (", v ,") is not divisible by 12");
}
}
}
func main()
{
// Test
}
main();``````

#### Output

`````` Given number ( 324 ) is divisible by 12
Given number ( 32473248726872398347612 ) is divisible by 12
Given number ( 234234242 ) is not divisible by 12
Given number ( 34534567567686558438 ) is not divisible by 12``````
``````// Kotlin program for
// Check that if large number is divisible by 12
class Divisibility
{
fun isDivisibleBy12(num: String): Unit
{
// Condition
// ➀  Number should be divisible by 2
// ➁  Number should be divisible by 3
// ➂  Last two digit is divisible by 4
var result: Boolean = false;
val n: Int = num.length;
if (n == 1 && num.get(0) == '0')
{
// When given number is zero
result = true;
}
if (n > 1)
{
if (num.get(n - 1) == '0' ||
num.get(n - 1) == '2' ||
num.get(n - 1) == '4' ||
num.get(n - 1) == '6' ||
num.get(n - 1) == '8')
{
// Number is divisible by 2
// Condition 2
// Check that if number is divisible by 3 or not
var sum: Int = 0;
var i: Int = 0;
// Calculate sum of all digit
while (i < n)
{
sum += (num.get(i).toInt() - 48);
i += 1;
}
// Condition 3
val lastTwo: Int = (num.get(n - 2).toInt() - 48) * 10 +
(num.get(n - 1).toInt() - 48);
if (lastTwo % 4 == 0 && sum % 3 == 0)
{
result = true;
}
}
}
if (result == true)
{
print(" Given number (" + num + ") is divisible by 12\n");
}
else
{
print(" Given number (" + num + ") is not divisible by 12\n");
}
}
}
fun main(args: Array < String > ): Unit
{
// Test
}``````

#### Output

`````` Given number (324) is divisible by 12
Given number (32473248726872398347612) is divisible by 12
Given number (234234242) is not divisible by 12
Given number (34534567567686558438) is not divisible by 12``````

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