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Factors are those numbers that are multiplied to get a number.

For example: 5 and 3 are factors of 15 as 5*3=15. Similarly other factors of 15 are 1 and 15 as 15*1=15.

The program to display the factors of a number are given as follows.

#include<iostream> using namespace std; int main() { int num = 20, i; cout << "The factors of " << num << " are : "; for(i=1; i <= num; i++) { if (num % i == 0) cout << i << " "; } return 0; }

The factors of 20 are : 1 2 4 5 10 20

In the above program, the for loop runs from 1 to num. The number is divided by i and if the remainder is 0, then i is a factor of num and is printed.

for(i=1; i <= num; i++) { if (num % i == 0) cout << i << " "; }

The same program given above can be created using a function that calculates all the factors of the number. This is given as follows −

#include<iostream> using namespace std; void factors(int num) { int i; for(i=1; i <= num; i++) { if (num % i == 0) cout << i << " "; } } int main() { int num = 25; cout << "The factors of " << num << " are : "; factors(num); return 0; }

The factors of 25 are : 1 5 25

In the above program, the function factors() finds all the factors of “num”. It is called from the main() function with one parameter i.e. “num”.

factors(num);

The for loop in the function factors() runs from 1 to num. The number is divided by i and if the remainder is 0, then i is a factor of “num” and is printed.

for(i=1; i <= num; i++) { if (num % i == 0) cout << i << " "; }

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