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Essay / Research Paper Abstract
A 6 page paper discussing the concept of integer factorization, providing examples and listing several shortcuts. Integer factorization can be difficult to grasp at first, but it becomes quite easy with practice and with assimilation of the shortcuts common in finding factors of a number. The factor tree is useful for identifying the prime factors of numbers, though it can become quite lengthy when beginning with very large numbers. Resulting factors simplify other operations, such as finding least common denominators of fractions. Bibliography lists 4 sources.
Page Count:
6 pages (~225 words per page)
File: CC6_KSmathIntFactor.rtf
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Unformatted sample text from the term paper:
factorization is a device of torture dreamed up by math teachers and whose sole purpose is to create headaches in trying to grasp the concept and then move ahead from
2- or 3-digit numbers to more challenging numbers of several more digits. There are other uses for factorization, however, several of which are useful in other mathematical operations and
calculations. It is of such use that a mathematician devised a machine in 1919 designed to automate integer factorization (Shallit, Williams and Morain
4). Factorization is useful in finding the least common denominator, and it is essential for many higher-order mathematical operations. The purpose here is to discuss factorization, define it and
explain how it is done. Types of Numbers Every whole number is either a prime number or a composite one (Weber). Prime
numbers, of course, are those that cannot be divided by anything but themselves or 1 without resulting in an answer that includes a fraction. "These are numbers like 3,
or 5, or 7, or 19, or 379721" (Weber). Composite numbers are those that can be broken into smaller factors. As example,
8 results from 2 times 4, which in turn is 2 times 2. Weber (1995) advises distinguishing between prime and composite numbers by remembering that the word "composite" indicates
that some entity - picture, recipe or number - is made from combining more than one like items. Factorization One author explains the
process of finding the factors of 84 (Finding All the Factors of a Number). Because 84 is an even number, it is divisible by 2, equaling 2 times 42.
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