Here is a multiplication table for mod 4:

\[
\begin{array}{c|c c c c}
\times_4 & 0 & 1 & 2 & 3 \\
\hline
0 & 0 & 0 & 0 & 0 \\
1 & 0 & 1 & 2 & 3 \\
2 & 0 & 2 & 0 & 2 \\
3 & 0 & 3 & 2 & 1 \\
\end{array}
\]

### Explanation:
In mod 4, after performing the multiplication, the result is taken modulo 4 (i.e., divided by 4 and the remainder is kept).

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Here are some related questions:
1. What is modular arithmetic and how does it work?
2. How would a mod 5 multiplication table look?
3. Can you explain the properties of modular arithmetic, such as closure, commutativity, and associativity?
4. How can modular arithmetic be applied in cryptography?
5. How does modular arithmetic differ from regular arithmetic?

**Tip:** In modular arithmetic, you can reduce intermediate steps to avoid large numbers. Always reduce modulo at each step!

Explore how to create a multiplication table for mod 4 with this comprehensive guide. Learn key concepts in modular arithmetic and understand how multiplication works under mod 4. This tutorial is perfect for students in Grades 6-8 learning number theory and modular arithmetic.

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