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

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The discussion centers on the method for factoring integers, specifically focusing on the number 45000. It is clarified that only integers can be factored, not all real numbers. The step-by-step factorization of 45000 is provided, breaking it down into its prime factors: 45000 = 2^3 * 3^2 * 5^4. The process involves successive division by prime numbers until reaching 1, demonstrating a traditional approach to factorization. The conversation also touches on the educational aspect of understanding prime factorization, noting that all factors of a number can be derived from combinations of its prime factors. Additionally, a challenge is presented to factor a larger number, 9875635421, suggesting a playful engagement 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
45000 =2^3*3^2*5^4
 
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]

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