Is it possible for a composite number to have more than one prime factorization? Is it possible for a number to have no prime factors? Why? Give an example of how prime factorization could be used in the real world. will medal and fan
The Fundamental Theorem of Arithmetic states that every integer greater than 1 either is prime itself or is the product of prime numbers, and that, although the order of the primes in the second case is arbitrary, the primes themselves are not. Therefore there is only one prime factorization of a composite number
thanks :)
np
Give an example of how prime factorization could be used in the real world. will @shaima
i had this on my quiz
i dont get what youre saying
@shaima
@shaima
sorry i was helping someone else
When you look behind the Idea of what prime factorization is, you will see that it is about breaking things down to their most basic parts. If you pay attention to the world, and your mind, when you learn math, you will get great life-lessons from learning about things like how we sort the world. Sorting numbers is great lesson in sorting reality. : let's say you are trying to understand the way a good government works. You decide, (or discover) what the basic, inalienable parts are. That means things which you can never, ever break if you want to build a good government. I would say the first 10 amendments of the Constitution of the United States (also known as "The Bill of Rights" are a good example. You cannot break those laws while making other laws, and still have a good government. They are the PRIME FACTORS in making laws.
What does this really have to do with Prime Factors? If you understand the Bill of Rights, you can see that there is no way that cruel and unusual punishment will ever fit in with being a good American (or anyone else, either!) If you understand prime factorization you will see that there is no way that 4 is going to fit among the prime factors of 21. If you spend enough time and learn any concept of math well enough, it will help you understand how things in general work.
Math is about seeing how things fit. It is the science of (among other things) patterns and order. If you learn to accept math as a way to describe and think about certain parts of reality http://www.mathmojo.com/interestinglessons/why_learn_prime_factors/why_learn_prime_factors.html
thats the real world example ??
@shaima
yea
@NicoleLinares
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