Question

Question 1 (25 points) An integer number is said to be a perfect number 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 and 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.

it should be written in c or c++ program

Answer 1

Here we choose the c++ language:

here in the program of c++ check the perfect number: Perfect number means that any number all factor not including itself and this all factor of a number sum equal to the actual number so that number called the perfect number.

Here in the perfect number program we print all the perfect number between 1 to 1000.

Program:

9 13 1 l/include header file of C++ 2 #include<bits/stdc++.h> //This is used for the include input output function 4 using namespace std; 5 6 int main() 7-{ 8 //declare the variables int n,i; 10 11 //loop for numbers between 1 to 1000 12 for(n=1;n<=1000;n++) { 14 //for sum of the number factors 15 int sum=0; 16 17 //loop for the factors of a number 18 for(i=1;i<n;i++) 19 { 20 if(n%i==0) 21 { 22 // sum the factor number of a number 23 sum+=i; 24 } 25 } 26 27 //check the number is perfect or not 28 if(sum==n) 29 { 30 //print that number is perfect 31 cout<<n<<": "<<"This is the perfect number\n"; 32 33 34 } } }

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//include header file of c++
#include<bits/stdc++.h>
//This is used for the include input output function
using namespace std;

int main()
{
//declare the variables
int n,i;

//loop for numbers between 1 to 1000
for(n=1;n<=1000;n++)
{
//for sum of the number factors
int sum=0;
  
//loop for the factors of a number
for(i=1;i<n;i++)
{
if(n%i==0)
{
//sum the factor number of a number
sum+=i;
}
}
  
//check the number is perfect or not
if(sum==n)
{
//print that number is perfect
cout<<n<<": "<<"This is the perfect number\n";
}
}
}

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Now, oputput of the program:

Here print all the perfect number between 1 to 1000.

Output: 6: This is the perfect number 28: This is the perfect number 496: This is the perfect number

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Answer 2

could you tell which book is this?