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IMP 2 POW 3: Divisor Counting.

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Issue:

Miscellaneous

 

Written by:

John F

 

Date added:

April 10, 2013

 

Level:

University

 

Grade:

A

 

No of pages / words:

4 / 874

 

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9785 times

 

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Essay content:

Every number is divisible evenly by one or itself so every number has at least 2 divisors. Numbers that have only 2 divisors are called prime numbers, only uneven numbers can be prime numbers, all even numbers except two have at least 3 divisors, the number itself, 1 and 2. the task was to find information about different questions about divisors, to find patterns and to make our own question...
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Questions: What kinds of numbers have exactly 3 divisors?, 4 divisors? and so on. Do bigger numbers necessarily have more divisors? Is there a way to figure out how many divisors one million has, how many one billion has and so on without actually counting all the different ones? (in other words is there a system for counting divisors) What is the smallest number with 20 divisors? Choose your own interesting question: Do all the rules for divisors work the same with negative numbers? III...
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