What is properties of modulo?

1. Modulo is a mathematical operator that finds the remainder when one number is divided by another.
2. The remainder is always non-negative and less than the divisor.
3. Modulo can be expressed as a binary or arithmetic operation. In programming, it is often denoted by the symbol "%".
4. Modulo is commutative and associative, which means that the order in which the numbers are arranged does not affect the result. For example, a % b and b % a will give the same answer.
5. Modulo can be used to check whether a number is even or odd. An even number % 2 will always give 0 as the result while an odd number % 2 will give 1.
6. Modulo can also be used to convert a number to its equivalent in a particular range. For example, if we want to convert the number 15 to a value between 1 and 10, we can use the expression (15 % 10) + 1, which will give the result 6.
7. Modulo can be used to perform modular arithmetic, which is useful in cryptography and computer science. It involves performing arithmetic operations (such as addition, subtraction, multiplication, and division) on numbers that are modulo a certain value.