What is $1$ mod $3$?

Find$1\mathrm{mod}3$.

Modulo operation:

$a\mathrm{mod}b$ means, the value of remainder when we divide $a$ by$b$.

We have to find$1\mathrm{mod}3$.

The multiple of the divisor $3$ is$(0,3,6,9,.....)$.

The highest multiple of divisor $3$ which is equal to or less than the dividend $1$ is zero.

So, we subtract zero from the dividend 1

$$\begin{gathered} 0 \\ 3\overline{)1} \\ \underline{-0} \\ 1 \end{gathered}$$

$$\begin{gathered} \therefore 1\mathrm{mod}3=1-0 \\ \Rightarrow =1 \end{gathered}$$

Hence, the value of $1\mathrm{mod}3$ is$1$.