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Prime Factorization

Prime Factorization is an algorithm which finds all prime numbers composing any number.

Remember? All composite numbers in the universe are composed by multiplication of prime numbers (i.d. 1,2,3,5,7,11,13,17,23, etc...). Check that page to learn how to manually find all prime numbers of any number, which eventually boils down to divisibility by 2,3,5,7,11, and so on...

For the theory behind the prime factorization, you can read here

Here is a prime factorization calculator for your use but it is not to be abused! Do your maths by hand and you will learn it better! use these calculators as way to check your answers!

Factorising Machine / Prime Number Tester

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Thinking... [0%]
Thinking... [0%]
Enter a natural number to be factorised.

In case you want to find all prime numbers from 1 up to a certain number, use the calculator below:


"1" is not a prime number, even if it's only divisible by 1 and itself. "0" is not a prime number because every result of a division with 0 is 0. Negative numbers behave in the same way positive numbers do. (If you enter a number that is too high, you might get an out of memory error.)

The prime numbers will be displayed below.

Feymann Quotations


Now one may ask, "What is mathematics doing in a physics lecture?" We have several possible excuses: first, of course, mathematics is an important tool, but that would only excuse us for giving the formula in two minutes. On the other hand, in theoretical physics we discover that all our laws can be written in mathematical form; and that this has a certain simplicity and beauty about it. So, ultimately, in order to understand nature it may be necessary to have a deeper understanding of mathematical relationships. But the real reason is that the subject is enjoyable, and although we humans cut nature up in different ways, and we have different courses in different departments, such compartmentalization is really artificial, and we should take our intellectual pleasures where we find them.
The Feynman Lectures on Physics

To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature ... If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in.
The Character of Physical Law

For those who want some proof that physicists are human, the proof is in the idiocy of all the different units which they use for measuring energy.

The Character of Physical Law


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