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# Am I correct about Whole Number Factoring? and Prime Factorization?

Okay so prime factorization Is used to break down huge numbers like. 420
420= 2x2x3x5x7.

And Whole number factoring Is used to break down numbers for fractions, using 1,2,3,4,5,6,7,8

like this
18/1= 18
18/2= 9
18/3= 6
18/4= Can't divide evenly
18/5= Can't divide evenly
18/6= The factors are repeating.

The factors of 18 are 1,2,3,6,9,18

It can be very easy to spot the common denominator etc.

Am I correct or Is there more to It?

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Posted by Spann0r Oct 20th, 2012 at 5:33AM

I think, the thing about prime factorization is, that there is only one possible combination for each number. That of course is only true, if 1 is not a prime number. Otherwise there would be an infinite amount of combinations, like:
420 = 2x2x3x5x7
420 = 2x2x3x5x7x1
420 = 2x2x3x5x7x1x1
420 = 2x2x3x5x7x1x1x1
and so on... That's why 1 is officially not a prime number.

As for the whole number factoring... I guess, it's useful for figuring out if a number is prime. One only needs to divide by numbers smaller than the square root of the dividend, because after that they start repeating.

That seems to be all I can bring up to this matter spontaneously...

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## 2 Answers to "Am I correct about Whole Number Factoring? and Prime Factorization?"

1. Posted by Oct 20th, 2012 at 5:36AM