Examine the given Python program and select the purpose of the program from…

2023

Examine the given Python program and select the purpose of the program from the following options: N=int(input("Enter the number")) for i in range(2, N): if (N%i==0): print(i)

  1. A.

    to display the proper factors (excluding 1 and the number N itself)

  2. B.

    to check whether N is a prime or Not

  3. C.

    to calculate sum of factors of N

  4. D.

    to display all prime factor of the number N

Attempted by 2677 students.

Show answer & explanation

Correct answer: A

Correct purpose: to display the proper factors of N (all divisors excluding 1 and N).

Explanation of the code:

  • Input: N = int(input("Enter the number")) reads an integer N.

  • Loop: for i in range(2, N): iterates i from 2 up to N-1 (inclusive).

  • Check and print: if N % i == 0: print(i) prints each i that divides N evenly. These are the proper factors of N (excluding 1 and N).

Examples and edge cases:

  • If N = 12 the output is: 2 3 4 6 (each printed on its own line).

  • If N is prime (for example N = 7) the program prints nothing, because there are no divisors between 2 and N-1.

  • If N <= 2 the loop does not run and nothing is printed.

If you want different behavior:

  • To check whether N is prime: use a flag (e.g., is_prime = True). If a divisor is found set is_prime = False and break. After the loop, report the result based on the flag.

  • To compute the sum of proper factors: initialize total = 0, inside the if add total += i, and after the loop print(total).

  • To print only prime factors: either test each divisor i for primality before printing, or perform a proper prime factorization algorithm that repeatedly divides N by prime factors.

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