# Arithmetic of Integers

This chapter begins with an introduction of prime numbers and their properties. Next, prime factorisation is explained with the help of a few example. The focus then shifts to the Fundamental theorem of Arithmetic with definition and examples. Concepts like HCF and LCM are explained in detail with a variety of examples. Euclid’s division lemma is stated and is followed by a series of examples. The Euclid’s division algorithm is then quoted. Afterwards, a discussion is presented on various divisibility rules followed by an exposition on the multiple applications of prime factorisation.

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## Prime Numbers and the Fundamentals Therorem of Arithmetic

- Prime Numbers
- Prime Factorization
- The Fundmenal Theorem of Arithmetic
- Highest Common Factor
- Lowest Common Factor