(perfect Number) An integer number said to be a perfect if its factors, includin

Question

(perfect Number) An integer number said to be a perfect if its factors, including 1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6= 1+ 2+3. Write a function perfect that determines if parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 to 1000. print the factors of each perfect number to confirm that the number is indeed perfect. Challenge the power of your computer by testing numbers much larger than 1000.

You MUST use a function to determine the perfect number. Also write a function that determines the factors of a number. You must use pointers for these functions (though they can be written without them) for the practice.

Functions are defined above main() (-10 pts)
Functions don't use pointers (-10)
Global variables are used (-20)
Functions are not used (-30)
Program appears to be shared or another person's work (no credit) for all

Explanation / Answer

include <stdio.h>

static int perfect ( int n )
{
int i ;
int sum = 0 ;
for ( i = 1 ; i <= n / 2 ; ++i ) if ( n % i == 0 ) sum += i ;
return sum == n ;
}

int main ( )
{
int i ;
for ( i = 1 ; i <= 1000 ; ++i )
{
if ( perfect ( i ) ) printf ( "%d " , i ) ;
}
return 0 ;
}

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