The term ‘mod’ stands for modulus, which refers to the remainder after division of one number by another. In the case of ‘2 mod 3’, we are looking to find the remainder when 2 is divided by 3.
To perform the calculation, you take the number 2 and divide it by 3. Since 2 is less than 3, it doesn’t go into 3 at all, meaning the quotient is 0. Now, since we are dealing with positive integers, the next step is to multiply this quotient (which is 0) by the divisor (which is 3):
0 (quotient) * 3 (divisor) = 0
After that, we subtract this product from the original number (2):
2 - 0 = 2
Thus, the result of ‘2 mod 3’ is simply 2.
In summary, the calculation reveals that:
2 mod 3 = 2
This means when you divide 2 by 3, the remainder left over is 2.