How Can You Check if a Number is Divisible by Another in Python?

Divisibility Testing: Checking if a Number is Multiples of Other Numbers

Determining whether a number is a multiple of another number is a common programming task. In Python, there are a few approaches you can take to perform this check, including using the modulus operator and integer division.

Modulus Operator Approach

The modulus operator, denoted by %, returns the remainder when one number is divided by the other. Using this operator, you can check divisibility as follows:

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

For example, to test if a number is a multiple of 3, you would check if n % 3 == 0.

Integer Division Approach

Integer division in Python returns an integer result, discarding any remainder. This can be useful for testing divisibility, as a number is divisible by another if the result of integer division is an integer. In Python 2.x, integer division is performed using /, while in Python 3.x, it is done using //.

<code class="python">if n // k == int(n // k):
    # n is divisible by k</code>

Example Code Using the Modulus Operator

The code you provided in your question can be modified to use the modulus operator to test for divisibility by 3 and 5:

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

while n <p>In this code, the if n % 3 == 0 and if n % 5 == 0 statements check if the current value of n is divisible by 3 or 5, respectively. If so, the sum of multiples is updated accordingly.</p></code>

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