Check that if large number is divisible by 16
If a large number is divisible by 16, it means that it can be evenly divided by 16 without leaving a remainder. In other words, if you divide the large number by 16, the result should be a whole number, without any fractional or decimal part.
To check whether a large number is divisible by 16, you can perform the following steps:
- Look at the last four digits of the number. If they form a multiple of 16 (i.e., 16, 32, 48, 64, 80, 96), then the entire number is divisible by 16.
- If the last four digits are not a multiple of 16, then the entire number is not divisible by 16.
- If the number has fewer than four digits, you can simply check whether it is a multiple of 16 by dividing it by 16 and checking if the result is a whole number.
Code Solution
// Java program for
// Check that if large number is divisible by 16
public class Divisibility
{
public void isDivisibleBy16(String num)
{
boolean result = false;
int length = num.length();
if (length == 1 && num.charAt(0) == '0')
{
result = true;
}
else if (length > 1)
{
int n = 0;
if (length == 2)
{
// Get 2 digit given number
n = (num.charAt(length - 2) - 48) * 10 +
(num.charAt(length - 1) - 48);
}
else if (length == 3)
{
// Get 3 digit number
n = ((num.charAt(length - 3) - 48) * 10 +
(num.charAt(length - 2) - 48)) * 10 +
(num.charAt(length - 1) - 48);
}
else
{
// Get last 4 digit number
n = (((num.charAt(length - 4) - 48) * 10 +
(num.charAt(length - 3) - 48)) * 10 +
(num.charAt(length - 2) - 48)) * 10 +
(num.charAt(length - 1) - 48);
}
if (n % 16 == 0)
{
result = true;
}
}
if (result)
{
System.out.println(" Given number (" +
num + ") is divisible by 16");
}
else
{
System.out.println(" Given number (" +
num + ") is not divisible by 16");
}
}
public static void main(String[] args)
{
Divisibility task = new Divisibility();
// Test
task.isDivisibleBy16("16");
task.isDivisibleBy16("1242");
task.isDivisibleBy16("5645642343454564556756753444344367867872");
task.isDivisibleBy16("4345345343456564564");
task.isDivisibleBy16("65756754674560");
}
}Output
Given number (16) is divisible by 16
Given number (1242) is not divisible by 16
Given number (5645642343454564556756753444344367867872) is divisible by 16
Given number (4345345343456564564) is not divisible by 16
Given number (65756754674560) is divisible by 16// Include header file
#include <iostream>
#include <string>
using namespace std;
// C++ program for
// Check that if large number is divisible by 16
class Divisibility
{
public: void isDivisibleBy16(string num)
{
bool result = false;
int length = num.length();
if (length == 1 && num[0] == '0')
{
result = true;
}
else if (length > 1)
{
int n = 0;
if (length == 2)
{
// Get 2 digit given number
n = (num[length - 2] - 48) *10 + (num[length - 1] - 48);
}
else if (length == 3)
{
// Get 3 digit number
n = ((num[length - 3] - 48) * 10 +
(num[length - 2] - 48)) * 10 +
(num[length - 1] - 48);
}
else
{
// Get last 4 digit number
n = (((num[length - 4] - 48) * 10 +
(num[length - 3] - 48)) * 10 +
(num[length - 2] - 48)) * 10 +
(num[length - 1] - 48);
}
if (n % 16 == 0)
{
result = true;
}
}
if (result)
{
cout << " Given number ("
<< num << ") is divisible by 16" << endl;
}
else
{
cout << " Given number ("
<< num << ") is not divisible by 16" << endl;
}
}
};
int main()
{
Divisibility *task = new Divisibility();
// Test
task->isDivisibleBy16("16");
task->isDivisibleBy16("1242");
task->isDivisibleBy16("5645642343454564556756753444344367867872");
task->isDivisibleBy16("4345345343456564564");
task->isDivisibleBy16("65756754674560");
return 0;
}Output
Given number (16) is divisible by 16
Given number (1242) is not divisible by 16
Given number (5645642343454564556756753444344367867872) is divisible by 16
Given number (4345345343456564564) is not divisible by 16
Given number (65756754674560) is divisible by 16// Include namespace system
using System;
// Csharp program for
// Check that if large number is divisible by 16
public class Divisibility
{
public void isDivisibleBy16(String num)
{
Boolean result = false;
int length = num.Length;
if (length == 1 && num[0] == '0')
{
result = true;
}
else if (length > 1)
{
int n = 0;
if (length == 2)
{
// Get 2 digit given number
n = (num[length - 2] - 48) * 10 +
(num[length - 1] - 48);
}
else if (length == 3)
{
// Get 3 digit number
n = ((num[length - 3] - 48) * 10 +
(num[length - 2] - 48)) * 10 +
(num[length - 1] - 48);
}
else
{
// Get last 4 digit number
n = (((num[length - 4] - 48) * 10 +
(num[length - 3] - 48)) * 10 +
(num[length - 2] - 48)) * 10 +
(num[length - 1] - 48);
}
if (n % 16 == 0)
{
result = true;
}
}
if (result)
{
Console.WriteLine(" Given number (" +
num + ") is divisible by 16");
}
else
{
Console.WriteLine(" Given number (" +
num + ") is not divisible by 16");
}
}
public static void Main(String[] args)
{
Divisibility task = new Divisibility();
// Test
task.isDivisibleBy16("16");
task.isDivisibleBy16("1242");
task.isDivisibleBy16("5645642343454564556756753444344367867872");
task.isDivisibleBy16("4345345343456564564");
task.isDivisibleBy16("65756754674560");
}
}Output
Given number (16) is divisible by 16
Given number (1242) is not divisible by 16
Given number (5645642343454564556756753444344367867872) is divisible by 16
Given number (4345345343456564564) is not divisible by 16
Given number (65756754674560) is divisible by 16package main
import "fmt"
// Go program for
// Check that if large number is divisible by 16
type Divisibility struct {}
func getDivisibility() * Divisibility {
var me *Divisibility = &Divisibility {}
return me
}
func(this Divisibility) isDivisibleBy16(num string) {
var result bool = false
var length int = len(num)
if length == 1 && num[0] == '0' {
result = true
} else if length > 1 {
var n int = 0
if length == 2 {
// Get 2 digit given number
n = (int(num[length - 2]) - 48) * 10 +
(int(num[length - 1]) - 48)
} else if length == 3 {
// Get 3 digit number
n = ((int(num[length - 3]) - 48) * 10 +
(int(num[length - 2]) - 48)) * 10 +
(int(num[length - 1]) - 48)
} else {
// Get last 4 digit number
n = (((int(num[length - 4]) - 48) * 10 +
(int(num[length - 3]) - 48)) * 10 +
(int(num[length - 2]) - 48)) * 10 +
(int(num[length - 1]) - 48)
}
if n % 16 == 0 {
result = true
}
}
if result {
fmt.Println(" Given number (",
num, ") is divisible by 16")
} else {
fmt.Println(" Given number (",
num, ") is not divisible by 16")
}
}
func main() {
var task * Divisibility = getDivisibility()
// Test
task.isDivisibleBy16("16")
task.isDivisibleBy16("1242")
task.isDivisibleBy16("5645642343454564556756753444344367867872")
task.isDivisibleBy16("4345345343456564564")
task.isDivisibleBy16("65756754674560")
}Output
Given number (16) is divisible by 16
Given number (1242) is not divisible by 16
Given number (5645642343454564556756753444344367867872) is divisible by 16
Given number (4345345343456564564) is not divisible by 16
Given number (65756754674560) is divisible by 16<?php
// Php program for
// Check that if large number is divisible by 16
class Divisibility
{
public function isDivisibleBy16($num)
{
$result = false;
$length = strlen($num);
if ($length == 1 && $num[0] == '0')
{
$result = true;
}
else if ($length > 1)
{
$n = 0;
if ($length == 2)
{
// Get 2 digit given number
$n = (ord($num[$length - 2]) - 48) * 10 +
(ord($num[$length - 1]) - 48);
}
else if ($length == 3)
{
// Get 3 digit number
$n = ((ord($num[$length - 3]) - 48) * 10 +
(ord($num[$length - 2]) - 48)) * 10 +
(ord($num[$length - 1]) - 48);
}
else
{
// Get last 4 digit number
$n = (((ord($num[$length - 4]) - 48) * 10 +
(ord($num[$length - 3]) - 48)) * 10 +
(ord($num[$length - 2]) - 48)) * 10 +
(ord($num[$length - 1]) - 48);
}
if ($n % 16 == 0)
{
$result = true;
}
}
if ($result)
{
echo(" Given number (".$num.
") is divisible by 16".
"\n");
}
else
{
echo(" Given number (".$num.
") is not divisible by 16".
"\n");
}
}
}
function main()
{
$task = new Divisibility();
// Test
$task->isDivisibleBy16("16");
$task->isDivisibleBy16("1242");
$task->isDivisibleBy16("5645642343454564556756753444344367867872");
$task->isDivisibleBy16("4345345343456564564");
$task->isDivisibleBy16("65756754674560");
}
main();Output
Given number (16) is divisible by 16
Given number (1242) is not divisible by 16
Given number (5645642343454564556756753444344367867872) is divisible by 16
Given number (4345345343456564564) is not divisible by 16
Given number (65756754674560) is divisible by 16// Node JS program for
// Check that if large number is divisible by 16
class Divisibility
{
isDivisibleBy16(num)
{
var result = false;
var length = num.length;
if (length == 1 && num.charAt(0) == '0')
{
result = true;
}
else if (length > 1)
{
var n = 0;
if (length == 2)
{
// Get 2 digit given number
n = (num.charAt(length - 2).charCodeAt(0) - 48) * 10 +
(num.charAt(length - 1).charCodeAt(0) - 48);
}
else if (length == 3)
{
// Get 3 digit number
n = ((num.charAt(length - 3).charCodeAt(0) - 48) * 10 +
(num.charAt(length - 2).charCodeAt(0) - 48)) * 10 +
(num.charAt(length - 1).charCodeAt(0) - 48);
}
else
{
// Get last 4 digit number
n = (((num.charAt(length - 4).charCodeAt(0) - 48) * 10 +
(num.charAt(length - 3).charCodeAt(0) - 48)) * 10 +
(num.charAt(length - 2).charCodeAt(0) - 48)) * 10 +
(num.charAt(length - 1).charCodeAt(0) - 48);
}
if (n % 16 == 0)
{
result = true;
}
}
if (result)
{
console.log(" Given number (" + num + ") is divisible by 16");
}
else
{
console.log(" Given number (" + num + ") is not divisible by 16");
}
}
}
function main()
{
var task = new Divisibility();
// Test
task.isDivisibleBy16("16");
task.isDivisibleBy16("1242");
task.isDivisibleBy16("5645642343454564556756753444344367867872");
task.isDivisibleBy16("4345345343456564564");
task.isDivisibleBy16("65756754674560");
}
main();Output
Given number (16) is divisible by 16
Given number (1242) is not divisible by 16
Given number (5645642343454564556756753444344367867872) is divisible by 16
Given number (4345345343456564564) is not divisible by 16
Given number (65756754674560) is divisible by 16# Python 3 program for
# Check that if large number is divisible by 16
class Divisibility :
def isDivisibleBy16(self, num) :
result = False
length = len(num)
if (length == 1 and num[0] == '0') :
result = True
elif (length > 1) :
n = 0
if (length == 2) :
# Get 2 digit given number
n = (ord(num[length - 2]) - 48) * 10 + (
ord(num[length - 1]) - 48)
elif (length == 3) :
# Get 3 digit number
n = ((ord(num[length - 3]) - 48) * 10 + (
ord(num[length - 2]) - 48)) * 10 + (
ord(num[length - 1]) - 48)
else :
# Get last 4 digit number
n = (((ord(num[length - 4]) - 48) * 10 + (
ord(num[length - 3]) - 48)) * 10 + (
ord(num[length - 2]) - 48)) * 10 + (
ord(num[length - 1]) - 48)
if (n % 16 == 0) :
result = True
if (result) :
print(" Given number (", num ,") is divisible by 16")
else :
print(" Given number (", num ,") is not divisible by 16")
def main() :
task = Divisibility()
# Test
task.isDivisibleBy16("16")
task.isDivisibleBy16("1242")
task.isDivisibleBy16("5645642343454564556756753444344367867872")
task.isDivisibleBy16("4345345343456564564")
task.isDivisibleBy16("65756754674560")
if __name__ == "__main__": main()Output
Given number ( 16 ) is divisible by 16
Given number ( 1242 ) is not divisible by 16
Given number ( 5645642343454564556756753444344367867872 ) is divisible by 16
Given number ( 4345345343456564564 ) is not divisible by 16
Given number ( 65756754674560 ) is divisible by 16# Ruby program for
# Check that if large number is divisible by 16
class Divisibility
def isDivisibleBy16(num)
result = false
length = num.length
if (length == 1 && num[0] == '0')
result = true
elsif (length > 1)
n = 0
if (length == 2)
# Get 2 digit given number
n = (num[length - 2].ord - 48) * 10 +
(num[length - 1].ord - 48)
elsif (length == 3)
# Get 3 digit number
n = ((num[length - 3].ord - 48) * 10 +
(num[length - 2].ord - 48)) * 10 +
(num[length - 1].ord - 48)
else
# Get last 4 digit number
n = (((num[length - 4].ord - 48) * 10 +
(num[length - 3].ord - 48)) * 10 +
(num[length - 2].ord - 48)) * 10 +
(num[length - 1].ord - 48)
end
if (n % 16 == 0)
result = true
end
end
if (result)
print(" Given number (", num ,") is divisible by 16", "\n")
else
print(" Given number (", num ,") is not divisible by 16", "\n")
end
end
end
def main()
task = Divisibility.new()
# Test
task.isDivisibleBy16("16")
task.isDivisibleBy16("1242")
task.isDivisibleBy16("5645642343454564556756753444344367867872")
task.isDivisibleBy16("4345345343456564564")
task.isDivisibleBy16("65756754674560")
end
main()Output
Given number (16) is divisible by 16
Given number (1242) is not divisible by 16
Given number (5645642343454564556756753444344367867872) is divisible by 16
Given number (4345345343456564564) is not divisible by 16
Given number (65756754674560) is divisible by 16
import scala.collection.mutable._;
// Scala program for
// Check that if large number is divisible by 16
class Divisibility()
{
def isDivisibleBy16(num: String): Unit = {
var result: Boolean = false;
var length: Int = num.length();
if (length == 1 && num.charAt(0) == '0')
{
result = true;
}
else if (length > 1)
{
var n: Int = 0;
if (length == 2)
{
// Get 2 digit given number
n = (num.charAt(length - 2).toInt - 48) * 10 +
(num.charAt(length - 1).toInt - 48);
}
else if (length == 3)
{
// Get 3 digit number
n = ((num.charAt(length - 3).toInt - 48) * 10 +
(num.charAt(length - 2).toInt - 48)) * 10 + (
num.charAt(length - 1).toInt - 48);
}
else
{
// Get last 4 digit number
n = (((num.charAt(length - 4).toInt - 48) * 10 +
(num.charAt(length - 3).toInt - 48)) * 10 +
(num.charAt(length - 2).toInt - 48)) * 10 +
(num.charAt(length - 1).toInt - 48);
}
if (n % 16 == 0)
{
result = true;
}
}
if (result)
{
println(" Given number (" + num + ") is divisible by 16");
}
else
{
println(" Given number (" + num + ") is not divisible by 16");
}
}
}
object Main
{
def main(args: Array[String]): Unit = {
var task: Divisibility = new Divisibility();
// Test
task.isDivisibleBy16("16");
task.isDivisibleBy16("1242");
task.isDivisibleBy16("5645642343454564556756753444344367867872");
task.isDivisibleBy16("4345345343456564564");
task.isDivisibleBy16("65756754674560");
}
}Output
Given number (16) is divisible by 16
Given number (1242) is not divisible by 16
Given number (5645642343454564556756753444344367867872) is divisible by 16
Given number (4345345343456564564) is not divisible by 16
Given number (65756754674560) is divisible by 16import Foundation;
// Swift 4 program for
// Check that if large number is divisible by 16
class Divisibility
{
func isDivisibleBy16(_ x: String)
{
let num = Array(x);
var result: Bool = false;
let length: Int = num.count;
if (length == 1 && num[0] == "0")
{
result = true;
}
else if (length > 1)
{
var n: Int = 0;
if (length == 2)
{
// Get 2 digit given number
n = (Int(UnicodeScalar(
String(num[length - 2]))!.value) - 48) * 10 +
(Int(UnicodeScalar(String(num[length - 1]))!.value) - 48);
}
else if (length == 3)
{
// Get 3 digit number
n = ((Int(UnicodeScalar(
String(num[length - 3]))!.value) - 48) * 10 +
(Int(UnicodeScalar(
String(num[length - 2]))!.value) - 48)) * 10 +
(Int(UnicodeScalar(
String(num[length - 1]))!.value) - 48);
}
else
{
// Get last 4 digit number
n = (((Int(UnicodeScalar(
String(num[length - 4]))!.value) - 48) * 10 +
(Int(UnicodeScalar(
String(num[length - 3]))!.value) - 48)) * 10 +
(Int(UnicodeScalar(
String(num[length - 2]))!.value) - 48)) * 10 +
(Int(UnicodeScalar(
String(num[length - 1]))!.value) - 48);
}
if (n % 16 == 0)
{
result = true;
}
}
if (result)
{
print(" Given number (", x ,") is divisible by 16");
}
else
{
print(" Given number (", x ,") is not divisible by 16");
}
}
}
func main()
{
let task: Divisibility = Divisibility();
// Test
task.isDivisibleBy16("16");
task.isDivisibleBy16("1242");
task.isDivisibleBy16("5645642343454564556756753444344367867872");
task.isDivisibleBy16("4345345343456564564");
task.isDivisibleBy16("65756754674560");
}
main();Output
Given number ( 16 ) is divisible by 16
Given number ( 1242 ) is not divisible by 16
Given number ( 5645642343454564556756753444344367867872 ) is divisible by 16
Given number ( 4345345343456564564 ) is not divisible by 16
Given number ( 65756754674560 ) is divisible by 16// Kotlin program for
// Check that if large number is divisible by 16
class Divisibility
{
fun isDivisibleBy16(num: String): Unit
{
var result: Boolean = false;
val length: Int = num.length;
if (length == 1 && num.get(0) == '0')
{
result = true;
}
else if (length > 1)
{
var n: Int ;
if (length == 2)
{
// Get 2 digit given number
n = (num.get(length - 2).toInt() - 48) * 10 +
(num.get(length - 1).toInt() - 48);
}
else if (length == 3)
{
// Get 3 digit number
n = ((num.get(length - 3).toInt() - 48) * 10 +
(num.get(length - 2).toInt() - 48)) * 10 +
(num.get(length - 1).toInt() - 48);
}
else
{
// Get last 4 digit number
n = (((num.get(length - 4).toInt() - 48) * 10 +
(num.get(length - 3).toInt() - 48)) * 10 +
(num.get(length - 2).toInt() - 48)) * 10 +
(num.get(length - 1).toInt() - 48);
}
if (n % 16 == 0)
{
result = true;
}
}
if (result)
{
println(" Given number (" + num + ") is divisible by 16");
}
else
{
println(" Given number (" + num + ") is not divisible by 16");
}
}
}
fun main(args: Array < String > ): Unit
{
val task: Divisibility = Divisibility();
// Test
task.isDivisibleBy16("16");
task.isDivisibleBy16("1242");
task.isDivisibleBy16("5645642343454564556756753444344367867872");
task.isDivisibleBy16("4345345343456564564");
task.isDivisibleBy16("65756754674560");
}Output
Given number (16) is divisible by 16
Given number (1242) is not divisible by 16
Given number (5645642343454564556756753444344367867872) is divisible by 16
Given number (4345345343456564564) is not divisible by 16
Given number (65756754674560) is divisible by 16
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