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Prime Factorization means you factor the number all the factors are prime numbers.
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โˆ™ 2015-06-02 03:05:38
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Q: What is primefactorization?
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What is the primefactorization of 196?

18


What is the primefactorization of 75?

3.5.5


What is the primefactorization of 30?

dx suck it


What is the Primefactorization of 76?

2, 2, 19


What is the primefactorization of 65?

5 x 13 = 65


What is the primefactorization for 256 using exponents?

28 = 256


What is the primefactorization of 95?

The prime factorization of 95 is 1,5,19.


How do you do primefactorization for 85?

factoring 85 85=5*17


What is primefactorization of 700?

It is: 2*2*5*5*7 = 700


What numbers are less than 100 and have a primefactorization of 5?

5 and 25


What is the primefactorization of 175?

5 x 5 x 7 = 175


What is the primefactorization of 100?

5 times 5 times 2 times 2


What is the primefactorization of 909?

As a product of its prime factors: 3*3*101 = 909


What is the primefactorization of 17875?

As a product of its prime factors: 5*5*5*11*13 = 17875


What is the primefactorization of the number 120?

2 x 2 x 2 x 3 x 5 = 120


What is the primefactorization of 378 using exponents?

The prime factorization of 378 using exponents is 21 x 33 x 71


What prime factorization for 144?

since 144 is 122 you can find the primefactorization easy by noting that 12=22 x3 so 144=24x32


What is the primefactorization of 88?

88 2 x 44 2 x 4 x 11 2 x 2 x 2 x 11


What are all of the factors of the number 114?

A very fast and effective way to do this would be a factor tree. I can't draw it on here, as I have no tools, but here is a crude example: 114= 6 * 19 2 * 3 * 19 Here is an explanation in words: 114/6=19, hence 114= 6 * 19 If you have ever been taught how to prime factorize, you must know to reduce it to prime numbers. 19 is already a prime number, so you leave it alone. 6 is not, and the primefactorization of 6 is 2*3, hence the prime factorization of 114 is 2*3*19. It is simple if you know how to prime factorize.


What is the factorization of 512?

Factorization of 512Factorization of 512 is:1 X 5122 X 2564 X 1288 X 6416 X 32Factorization is not to be confused with primefactorization. Prime factorization for 512 is:2 X 2562 X 2 X 1282 X 2 X 2 X 642 X 2 X 2 X 2 X 322 X 2 X 2 X 2 X 2 X 162 X 2 X 2 X 2 X 2 X 2 X 82 X 2 X 2 X 2 X 2 X 2 X 2 X 42 X 2 X 2 x 2 X 2 X 2 X 2 X 2 X 2 or 29


How do you know when you have prime factorization?

Knowing When Factorization is PrimeFactorization is prime factorization when all the factors are prime numbers. If there is just one composite number in the factorization, it is not prime.A couple of examples:12 - 2 X 6 = 12. 2 is prime, but 6 is composite, so more factoring is needed.2 X 2 X 3 = 12. Numbers 2 and 3 are prime, so prime factorization is complete.Always starting with the lowest factor of the number (except for 1) makes this easy.For example, the number 100. You can start with any of its factors, but the lowest one is 2, so start with it.100 - 2 X 50 = 100. 50 is a composite number, so it must be factored. 2 is the lowest factor (besides 1), so use it.2 X 2 X 25 = 100. Now, 25 needs to be factored, but the lowest factor is not 2, but 5, so use it.2 X 2 X 5 X 5 All numbers are now prime, so the prime factorization of 100 is:2 X 2 X 5 X 5. You can also write it with exponents like this: 22 X 52


How do you figure out the prime factorization of a number?

Here's an algorithm in java: import java.util.Scanner; import java.util.ArrayList; public class PrimeFactorization { public static void main(String[] args) { String response; Scanner scan=new Scanner(System.in); double num=0; boolean read=false,run=true; timer.start(); while(run) { System.out.println("Enter a number"); while(!read) { response=scan.next(); try { num=Double.parseDouble(response); read=true; } catch(NumberFormatException exception) { System.out.println("Incorrect Format"); } } read=false; TimerListener.resetT(); ArrayList<Double> list=getPrimeFactorization(num); System.out.println("Prime Factorization:"); for(int count=0;count<list.size()-1;count++) { System.out.print(list.get(count)+", "); } System.out.println(list.get(list.size()-1)); System.out.println("Time: "+TimerListener.getT()+"s\n\n"); } } public static ArrayList<Double> getPrimeFactorization(double num) { ArrayList<Double> list=new ArrayList<Double>(); boolean run=true; double index; while (run) { list.add(index=getFirstFactor(num)); num=num/index; if (num==1) run=false; } return list; } private static double getFirstFactor(double num) { for(int count=2;count<=Math.sqrt(num)+1;count++) { if ((double)num/(double)count%1==0)return count; } return num; }


What are the factors of number X?

Basic factoring will be automatically and instantaneously completed through this applet: http://conceptualeclipse.googlepages.com/primefactorization (no download necessary, works on all platforms) The applet will clearly tell you the prime factors, number of prime factors, and number of unique prime factors of any integer between -1,000,000,000 and 1,000,000,000 immediately. For convenience's sake, here is a list of the factors of all numbers between 1 and 100 They are presented in the following format Number X ---First factor of number X ---Second factor of number X ---Third factor of number X 1 ---1 2 ---1 ---2 3 ---1 ---3 4 ---1 ---2 ---4 5 ---1 ---5 6 ---1 ---2 ---3 ---6 7 ---1 ---7 8 ---1 ---2 ---4 ---8 9 ---1 ---3 ---9 10 ---1 ---2 ---5 ---10 11 ---1 ---11 12 ---1 ---2 ---3 ---4 ---6 ---12 13 ---1 ---13 14 ---1 ---2 ---7 ---14 15 ---1 ---3 ---5 ---15 16 ---1 ---2 ---4 ---8 ---16 17 ---1 ---17 18 ---1 ---2 ---3 ---6 ---9 ---18 19 ---1 ---19 20 ---1 ---2 ---4 ---5 ---10 ---20 21 ---1 ---3 ---7 ---21 22 ---1 ---2 ---11 ---22 23 ---1 ---23 24 ---1 ---2 ---3 ---4 ---6 ---8 ---12 ---24 25 ---1 ---5 ---25 26 ---1 ---2 ---13 ---26 27 ---1 ---3 ---9 ---27 28 ---1 ---2 ---4 ---7 ---14 ---28 29 ---1 ---29 30 ---1 ---2 ---3 ---5 ---6 ---10 ---15 ---30 31 ---1 ---31 32 ---1 ---2 ---4 ---8 ---16 ---32 33 ---1 ---3 ---11 ---33 34 ---1 ---2 ---17 ---34 35 ---1 ---5 ---7 ---35 36 ---1 ---2 ---3 ---4 ---6 ---9 ---12 ---18 ---36 37 ---1 ---37 38 ---1 ---2 ---19 ---38 39 ---1 ---3 ---13 ---39 40 ---1 ---2 ---4 ---5 ---8 ---10 ---20 ---40 41 ---1 ---41 42 ---1 ---2 ---3 ---6 ---7 ---14 ---21 ---42 43 ---1 ---43 44 ---1 ---2 ---4 ---11 ---22 ---44 45 ---1 ---3 ---5 ---9 ---15 ---45 46 ---1 ---2 ---23 ---46 47 ---1 ---47 48 ---1 ---2 ---3 ---4 ---6 ---8 ---12 ---16 ---24 ---48 49 ---1 ---7 ---49 50 ---1 ---2 ---5 ---10 ---25 ---50 51 ---1 ---3 ---17 ---51 52 ---1 ---2 ---4 ---13 ---26 ---52 53 ---1 ---53 54 ---1 ---2 ---3 ---6 ---9 ---18 ---27 ---54 55 ---1 ---5 ---11 ---55 56 ---1 ---2 ---4 ---7 ---8 ---14 ---28 ---56 57 ---1 ---3 ---19 ---57 58 ---1 ---2 ---29 ---58 59 ---1 ---59 60 ---1 ---2 ---3 ---4 ---5 ---6 ---10 ---12 ---15 ---20 ---30 ---60 61 ---1 ---61 62 ---1 ---2 ---31 ---62 63 ---1 ---3 ---7 ---9 ---21 ---63 64 ---1 ---2 ---4 ---8 ---16 ---32 ---64 65 ---1 ---5 ---13 ---65 66 ---1 ---2 ---3 ---6 ---11 ---22 ---33 ---66 67 ---1 ---67 68 ---1 ---2 ---4 ---17 ---34 ---68 69 ---1 ---3 ---23 ---69 70 ---1 ---2 ---5 ---7 ---10 ---14 ---35 ---70 71 ---1 ---71 72 ---1 ---2 ---3 ---4 ---6 ---8 ---9 ---12 ---18 ---24 ---36 ---72 73 ---1 ---73 74 ---1 ---2 ---37 ---74 75 ---1 ---3 ---5 ---15 ---25 ---75 76 ---1 ---2 ---4 ---19 ---38 ---76 77 ---1 ---7 ---11 ---77 78 ---1 ---2 ---3 ---6 ---13 ---26 ---39 ---78 79 ---1 ---79 80 ---1 ---2 ---4 ---5 ---8 ---10 ---16 ---20 ---40 ---80 81 ---1 ---3 ---9 ---27 ---81 82 ---1 ---2 ---41 ---82 83 ---1 ---83 84 ---1 ---2 ---3 ---4 ---6 ---7 ---12 ---14 ---21 ---28 ---42 ---84 85 ---1 ---5 ---17 ---85 86 ---1 ---2 ---43 ---86 87 ---1 ---3 ---29 ---87 88 ---1 ---2 ---4 ---8 ---11 ---22 ---44 ---88 89 ---1 ---89 90 ---1 ---2 ---3 ---5 ---6 ---9 ---10 ---15 ---18 ---30 ---45 ---90 91 ---1 ---7 ---13 ---91 92 ---1 ---2 ---4 ---23 ---46 ---92 93 ---1 ---3 ---31 ---93 94 ---1 ---2 ---47 ---94 95 ---1 ---5 ---19 ---95 96 ---1 ---2 ---3 ---4 ---6 ---8 ---12 ---16 ---24 ---32 ---48 ---96 97 ---1 ---97 98 ---1 ---2 ---7 ---14 ---49 ---98 99 ---1 ---3 ---9 ---11 ---33 ---99 100 ---1 ---2 ---4 ---5 ---10 ---20 ---25 ---50 ---100