**Amicable numbers are two numbers so related that the sum of the proper divisors of the one is equal to the other, unity being considered as a proper divisor but not the number itself.**

Let’s identify variables needed for this program.

First two variables will be the one which will save the values entered by the user and it will be **NUM1, NUM2**. Other two variables will be i,j which will be for **FOR** Loops. Last variable will be holding sum of all the divisors of two numbers and it will be **SUM1 and SUM2 ** so in all **SIX **variables.

The identified variables are **NUM1,NUM2, i,j,SUM1,SUM2.**

Now, Selection of **data type** is **int** data type due to the values expected are decimals and they will be holding smaller values so int data type is sufficient.

In this program there is a requirement of generating the divisors. Here we have to Check the values from 1 to the given number. It indicates LOOP is to be taken. Best Loop for such kind of condition is **FOR** Loop.

Loop selected is FOR Loop.

Now give the user a message to enter a value and scan the input from the user and save it in NUM1 and NUM2 variables.

for(i=0;i<NUM;i++) this FOR loop will give you **DIVIDE ERROR**. So be careful while initializing i=1 instead of i=0.

For Loop will start with 1 to NUM-1.To identify whether the number is divisor or not. We have to divide that number by given number(NUM1 and NUM2). If the remainder is zero than number entered is an divisor and if the remainder is not zero than number is not a divisor. This can be achieved by **% (modulus)** operator which is giving us the remainder.

The condition will be **NUM1%i and NUM2%j** in FOR Loops. If the remainder will be zero, INSTEAD of printing the number divisible as output values in this program, we will sum the divisors generated and save it in **SUM1** and **SUM2 **by equation **SUM1=SUM1+i and ****SUM2=SUM2+j**.

If the total sum of divisor of a given number is equal to the given number itself than check this condition by **NUM1==SUM2 && NUM2==SUM1** and if its equal than print the message TWO NUMBERS ARE AMICABLE NUMBERS else print message TWO NUMBERS ARE NOT AMICABLE NUMBERS.

- #include<stdio.h>
- void main()
- {
- int NUM1,NUM2,i,j,SUM1=0,SUM2=0;
- scanf("%d",&NUM1);
- scanf("%d",&NUM2);
- for(i=1;i<NUM1;i++)
- {
- if(NUM1%i==0)
- {
- SUM1=SUM1+i;
- }
- }
- for(j=1;j<NUM2;j++)
- {
- if(NUM2%j==0)
- {
- SUM2=SUM2+j;
- }
- }
- if(NUM1==SUM2 && NUM2==SUM1)
- {
- }
- else
- {
- }
- getch();
- }

**SCREEN SHOTS:-**

*Note:- **To understand program for sequence in detail Please SEARCH numerically example: C001, C002, etc.*