# C Program For Strong Number

How to Write C Program For Strong Number Using While Loop, For Loop, and Recursive Function?. This article will also show you, How to write a C program to print Strong Numbers between 1 to n.

## C Program For Strong Number Using While Loop

This program allows the user to enter any positive integer. And then, it will check whether the number is Strong Number or Not using the While Loop

```#include <stdio.h>

int main()
{
int Number, Temp, Reminder, Sum = 0, i;
long Factorial;

printf("\nPlease Enter a Number to Check for Strong Number \n");
scanf("%d", &Number);

//Helps to prevent altering the original value
Temp = Number;
while( Temp > 0)
{
Factorial = 1, i = 1;
Reminder = Temp % 10;
while (i <= Reminder)
{
Factorial = Factorial * i;
i++;
}
printf("\n Factorial of %d = %d\n", Reminder, Factorial);
Sum = Sum + Factorial;
Temp = Temp /10;
}

printf("\n Sum of the Factorials of a Given Number %d is = %d\n", Number, Sum);

if ( Number == Sum )
printf("\n %d is a Strong Number.\n", Number);
else
printf("\n %d is not a Strong Number.\n", Number);

return 0;
}```

This program for a strong number allows the user to enter any positive integer. It will assign it to a Number variable.

Next, we are assigning the original value to the Temp variable. It will help us to preserve our original value while we do all the manipulation on the Temp variable.

Below C Programming While loop will make sure that the given number is greater than 0, the statements inside the While Loop will split the numbers and find the factorial of individual digits inside the given number. If you don’t understand the logic, Please refer C Program to Count Digits article.

Here, the first while Loop (Outer one) in C strong number program will split the number into individual digits. Next, the inner while loop will find the factorial of that digit. I suggest you refer C Program to find Factorials article to understand the logic behind the factorial.

User Entered value of this example : Number = 145 and Sum = 0
Temp = Number
Temp = 145

First Iteration
Reminder = Temp % 10
Reminder = 145 % 10 = 5

Now, it will enter into Inner While loop. Here it will calculate the factorial of 5, and that is 120.

Sum = Sum +120
Sum = 0 + 120 => 120

Temp = Temp /10
Temp = 145 /10 => 14

Second Iteration
From the first Iteration of strong number in c program, the values of both Temp and Sum has changed as Temp = 14 and Sum = 120
Reminder = Temp % 10
Reminder = 14 % 10 = 4

Now, it will enter into Inner While loop. Here it will calculate the factorial of 4, and that is 24.
Sum = 120 + 24
Sum = 144

Temp = 14 /10 => 1

Third Iteration
From the Third Iteration of c program for strong number, the values of both changed as Temp = 1 and Sum = 144
Reminder = 1 % 10 = 0

Here, the factorial of 1 is 1
Sum = 144 + 1 = 145

Temp = 1 / 10 => 0

Here Temp = 0 so, the while loop condition will fail

if ( Number== Sum ) – Condition will check whether the user enter number is exactly equal to Sum number or not. If this condition is True, then it is Strong Number, else it is not.

Let me check with another value in this c strong number program

``````Please Enter a Number to Check
153

Factorial of 3 = 6

Factorial of 5 = 120

Factorial of 1 = 1

Sum of the Factorials of a Given Number 153 is = 127

153 is not.``````

## C Program For Strong Number Using For Loop

This program allows the user to enter any positive integer. And then, this C program will check whether a number is a Strong or Not using For Loop

```#include <stdio.h>

int main()
{
int Num, Temp, Reminder, Sum = 0, i;
long Factorial;

scanf("%d", &Num);

//Helps to prevent altering the original value
Temp = Num;
for(Temp = Num; Temp > 0; Temp =  Temp / 10 )
{
Factorial = 1;
Reminder = Temp % 10;
for (i = 1; i <= Reminder; i++)
{
Factorial = Factorial * i;
}
printf(" Fact of %d = %d\n", Reminder, Factorial);
Sum = Sum + Factorial;
}

printf("\n Sum of the Factorials of %d is = %d\n", Num, Sum);

if ( Number == Sum )
printf("\n %d is a Strong.\n", Num);
else
printf("\n %d is not.\n", Num);

return 0;
}```
``````Please Enter a Number to Check
40585

Fact of 5 = 120
Fact of 8 = 40320
Fact of 5 = 120
Fact of 0 = 1
Fact of 4 = 24

Sum of the Factorials of 40585 is = 40585

40585 is a Strong.``````

Let me check with another number

``````Please Enter a Number to Check
26
Factorial of 6 = 720
Factorial of 2 = 2

Sum of the Factorials of 26 is = 722

26 is not.``````

We just replaced the While loop in the above strong number in c example with the For loop. If you don’t understand, then please refer the article here: For Loop

## C Program For Strong Number Using Recursion

This program allows you to enter any positive integer. Then, this c program will check whether a number is a Strong Number or Not using Recursion concept. Here, you can also try normal function to calculate the Factorial.

```#include <stdio.h>

long Calculate_Factorial(int);

int main()
{
int Number, Temp, Reminder, Sum = 0;
long Factorial;

printf("\nPlease Enter a Number to Check \n");
scanf("%d", &Number);

//Helps to prevent altering the original value
Temp = Number;
for(Temp = Number; Temp > 0; Temp =  Temp / 10 )
{
Factorial = 1;
Reminder = Temp % 10;

// Calling Calculate_factorial Function
Factorial = Calculate_Factorial(Reminder);

printf("Factorial of %d = %d\n", Reminder, Factorial);
Sum = Sum + Factorial;
}

printf("\nSum of the Factorials of %d is = %d\n", Number, Sum);

if ( Number == Sum )
printf("\n%d is a Strong.\n", Number);
else
printf("\n%d is not.\n", Number);

return 0;
}

long Calculate_Factorial(int Number)
{
if (Number == 0 || Number == 1)
return 1;

else
return Number * Calculate_Factorial (Number -1);
}```
``````Please Enter a Number to Check : 145
Factorial of 5 = 120
Factorial of 4 = 24
Factorial of 1 = 1

Sum of the Factorials of 145 is = 145

145 is a Strong.``````

## C Program to Find Strong Numbers between the 1 to n

This allows the user to enter a minimum and maximum values. This program will find C Strong Numbers between the Minimum and Maximum values.

```#include <stdio.h>

int SrNum(int);

int main()
{
int Number, Temp, Sum = 0, Minimum, Maximum;

printf("\nPlease Enter the Minimum & Maximum Values\n");
scanf("%d %d",&Minimum, &Maximum);

for(Number = Minimum; Number <= Maximum; Number++)
{
Temp = Number;
Sum = SrNum(Temp);
if ( Number == Sum )
printf("\n%d is a Strong Number.\n", Number);
}
return 0;
}
long CalFact(int Num)
{
if (Num == 0 || Num == 1)
return 1;
else
return Num * CalFact(Num -1);
}
int SrNum(int Num)
{
int Temp, Reminder, Sum = 0;
long Factorial;
Temp = Num;
for(Temp = Num; Temp > 0; Temp =  Temp / 10 )
{
Factorial = 1;
Reminder = Temp % 10;
Factorial = CalFact(Reminder);
Sum = Sum + Factorial;
}
return Sum;
}```
``````Please Enter the Minimum & Maximum Values
10
100000

145 is a Strong Number.

40585 is a Strong Number.``````

This program allows the user to enter a minimum and maximum values. Next, the below shown For Loop helps the compiler to iterate between Minimum and Maximum Variables, iteration starts at the Minimum. Then it will not exceed the Maximum variable.