Divisors

TIP101 Unit 1 Session 2 (Click for link to problem statements)

U-nderstand

Understand what the interviewer is asking for by using test cases and questions about the problem.

• Will n always be a positive integer?
  • Yes.

P-lan

Plan the solution with appropriate visualizations and pseudocode.

General Idea: Loop through each number less than or equal to n, and add it to a list if it evenly divides n.

1) Create an empty list variable to store the divisors
2) Loop from 1 to `n` (inclusive)
  a) If `n` is divisible by the number, add the number to the divisors list
3) Return the divisors list

⚠️ Common Mistakes

• A number is "evenly divisible" when the remainder of the division is zero. How can we check for that in python?

I-mplement

def find_divisors(n):
    divisors = []
    for i in range(1, n + 1):
        if n % i == 0:
            divisors.append(i)
    return divisors