When a composite number<span> is </span>written<span> as a </span>product<span> of all of its </span>primefactors<span>, we have the </span>prime factorization<span> of the </span>number<span>. For example, the </span>number<span> 72</span>can<span> be </span>written<span> as a </span>product<span> of primes as: 72 = .</span>
The prime factorization of an umber is when you take a number that is not prime (called a composite number) and break it down into factors that cannot be broken down any further. These are called prime factors, since they are only divisible by 1 and themselves.