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Example: Finding Missing Number in a Factor Tree

 Post to:   Explanation:

# Factorization

In mathematics, factorization (also factorisation in British English) or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into primes as 3 × 5. (Our solved example in mathguru.com uses this concept)

http://en.wikipedia.org/wiki/Factorization

Integer factorization

In number theory, integer factorization or prime factorization is the breaking down of a composite number into smaller non-trivial divisors, which when multiplied together equals the original integer. (Our solved example in mathguru.com uses this concept)

## Prime decomposition This image demonstrates the prime decomposition of 864. A short-hand way of writing the resulting prime factors is (Our solved example in mathguru.com uses this concept)

By the fundamental theorem of arithmetic, every positive integer has a unique prime factorization.

Given an algorithm for integer factorization, one can factor any integer down to its constituent prime factors by repeated application of this algorithm.

http://en.wikipedia.org/wiki/Integer_factorization