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Section 3.7 Chapter 3 Summary

Subsection Important Definitions

Subsection Important Theorems and Results about Even and Odd Integers

Subsection Important Theorems and Results about Divisors

Subsection The Division Algorithm

Let \(a\) and \(b\) by integers with \(b \gt 0\text{.}\) Then there exist unique integers \(q\) and \(r\) such that

\begin{equation*} a = bq + r \text{ and } 0 \leq r \lt b\text{.} \end{equation*}

Subsection Important Theorems and Results about Congruence