Issues with understanding code in Python's official documentation (4.4.)

Python Help
1

Hello, everyone. Python beginner here.

I’m having issues trying to understand what this Python program does when thoroughly going through Python’s official documentation. The section specifically I’m referencing about in the documentation is the 4.4. “break” and “continue” statements.

I’ll input the following code:

for n in range(2, 10):
    for x in range(2, n):
        if n % x == 0:
            print(f"{n} equals {x} * {n//x}")
            break

I’m completely uncertain on what the code does. Any help would be appreciated. Thank you.

2

Hello, Leo!

Your code snippet do the following thing:

For each value n=2, n=3, ..., n=9 it runs some nested loop.
This nested loop iterates over x=2, …, x=n-1.
And when condition n % x == 0 is satisfied (i.e. remainder of division n by x is zero, which means that n can be divided by x) it prints some text and breaks the nested loop.
After this execution continues for the next value of n.

So, the output of this program will be:

4 equals 2 * 2
6 equals 2 * 3
8 equals 2 * 4
9 equals 3 * 3

I hope this explanation will help you.
I wish you to be patient and focused, and you will learn a lot of amazing things!

3

Hello, Mikhail!

Firstly, I would like to thank you so much for providing me an answer and a solution, I really appreciate it! Your answer was simple and made sense, it was fantastic.

When reading and comprehending your solution, I have two questions causing confusion related to your solution that I am still trying to figure out. These would be the questions. (I have also provided quotes for you below)

Question 1:

I’m unsure on what the code x=n-1 of the program would mean. If it were n=2, would I do this? (e.g. x = 2 - 1?) When I was doing the math of the nested loops and breaking it down, I got this out of the sequence:

x = 2 - 1 → 1
x = 3 - 1 → 2
x = 4 - 1 → 3
x = 5 - 1 → 4

And so on…

Question 2:

In the code: print(f"{n} equals {x} * {n//x}"), what would the floor division in {n//x} be?

Sorry if these questions are bombarding or overwhelming you. These are the questions I have, I’d be looking forward to hear your answer soon.

4

Feel free to ask questions, this is a special place for those!

Range object produces some amount of values.
You can test it with code like this: print(list(range(2, 3))), it prints [2].
I.e. there’s only one integer x which satisfies condition 2 <= x < 3, it’s just 2.

And print(list(range(2, 7))) prints [2,3,4,5,6].
Because integers x which satisfies condition 2 <= x < 7 are 2, 3, 4, 5, 6.

Floor division produces appropriate integers, for example 6 // 3 equals 2. And 7 // 3 also equals 2.