How Can We Determine If a Number Is Divisible By Another In Python?

Testing Divisibility in Python

The problem of determining whether a number is divisible by another number is encountered frequently in programming. For instance, to find multiples of 3 and 5 in a range, the modulus operator, %, can be employed.

The modulus operator, when applied to two numbers, returns the remainder after division. For example:

<code class="python">>>> 10 % 3
1</code>

In this case, 10 divided by 3 has a remainder of 1. Thus, 10 is not divisible by 3.

To test divisibility, we can check if the remainder is zero:

<code class="python">if n % k == 0:
    # n is divisible by k</code>

Using this approach, the code to find multiples of 3 and 5 within the range of 1 to 1000 can be rewritten as:

<code class="python">n = 1
s = 0

while n < 1001:
    if n % 3 == 0:
        s += n
        print('Multiple of 3!')

    if n % 5 == 0:
        s += n
        print('Multiple of 5!')

    n += 1</code>

This updated code correctly identifies multiples of 3 and 5 within the given range.

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