Modular arithmetic

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Modular Arithmetic is a system of arithmetic for integers, which considers the remainder.

In modular arithmetic, numbers "wrap around" upon reaching a given fixed quantity (this given quantity is known as the modulus) to leave a remainder.

It can be though of as a clock face with the modulus amount of numbers on it. The modulus of n will be the value that you find if you wrapped around the clock values n times.