Create a method to find the factors of any real number?

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Discussion Overview

The discussion revolves around the method for finding the factors of real numbers, specifically focusing on integers, and applying this method to the integer 45000. Participants explore various approaches to factorization and share their understanding of the topic.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant initially asks about factoring any real number but later clarifies that they meant integers.
  • Another participant states that only integers can be factored, implying that real numbers do not have factors in the same sense.
  • A participant provides a step-by-step factorization of 45000, breaking it down into its prime factors.
  • Another participant describes a method learned in elementary school, which involves successive division by prime numbers to reach 1, confirming the prime factorization of 45000.
  • A later post challenges others to factor a much larger integer, 9875635421, suggesting a playful tone regarding homework completion.

Areas of Agreement / Disagreement

Participants generally agree that the discussion is focused on integer factorization, with some differing views on the nature of factoring real numbers. The method for finding factors is discussed, but no consensus is reached on the broader implications for real numbers.

Contextual Notes

Some participants express uncertainty about the understanding of factorization among different audiences, indicating that the discussion may be influenced by varying levels of familiarity with the topic.

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create a method to find the factors of any real number ? and then use it to find the factors of 45000 ?
 
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Answer:You cannot factor every real number. You can only factor integers.[/color]
 
ok ... i am sorry ... i meant integers
 
Just reduce it step by step: 45000=(45)(1000)=(5)(9)(10)(10)(10)=(2^3)(3^2)(5^4)
 
What I learned in elementary school is to divide successively by all primes until you get 1 in the quotient.
45000 / 2
22500 / 2
11250 / 2
5625 / 3
1875 / 3
625 / 5
125 / 5
25 / 5
5 / 5
1
[tex]45000 =2^3*3^2*5^4[/tex]
 
elaborating on SGT's and Galileo's, all the factors of 4500 are any combinations of their prime factorizations. maybe you got that.. but some kids don't...

at any rate, this sounds more like a homework problem than a teaser...
 
Factorise 9875635421
I dare ya!

[think]my homework will be finished soon![/think]

-- AI
 

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