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Prime factorization is also known as **unique-prime-factorization theorem**. It states that any natural number greater than 1 or the prime number itself, can be obtained by the product of prime numbers. Any natural number n, can be obtained from the prime factors **p1, p2, p3 ....pt.** This is called as **prime factorization**.

For example,

6 = 3 x 2

72 = 2 x 2 x 2 x 3 x 3

42 = 2 x 3 x 7

8415 = 5 x 9 x 11 x 7

Any whole number can be created by multiplying the prime numbers greater than the one. So prime numbers are considered to be the building blocks of the **natural numbers **

Prime factorization is practically possible to work out for the large set of numbers. **Euclids lemma** is the fundamental proof for prime factorization. Euclid lemma states that if the prime numbers divides the property of two numbers, it must divide at least one of those numbers.

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