The modulo or mod is the remainder after dividing one number by another absolute value.

Therefore, if you have an expression like a ≡ b (mod n), this means that when you divide a and b by n, they have the same remainder.

**Formula to calculate modulus.**

You only need to take the number you have and divide it by a positive integer and the absolute value that you get is the modulo.

**Example:**

Verify that 3 ≡ 5(mod 2).

You only need to take 3 and divide it by 2 and also take 5 and divide it by 5.

**= 3 ÷ 2**

**= 1 remainder 1**

**= 5 ÷ 2**

**= 2 remainder 1 **

Since the remainder is the same, it is correct to say that 3 is equivalent to 5 mod 2.