The *modulus operator* works on integers and yields the remainder when the first operand is divided by the second. In Python, the modulus operator is a percent sign (`%`

). The syntax is the same as for other operators:

Code \(\PageIndex{1}\) (Python):

quotient = 7 // 3
print(quotient)
remainder = 7 % 3
print(remainder)

So 7 divided by 3 is 2 with 1 left over.

The modulus operator turns out to be surprisingly useful. For example, you can check whether one number is divisible by another: if `x % y`

is zero, then `x`

is divisible by `y`

.

You can also extract the right-most digit or digits from a number. For example, `x % 10`

yields the right-most digit of `x`

(in base 10). Similarly, `x % 100`

yields the last two digits.