What makes the factorization of a number a prime factorization?
Q. What makes the factorization of a number a prime factorization? Use examples please.
Asked by Mahmuda K - Tue Oct 23 23:08:16 2007 - - 1 Answers - 0 Comments

A. When you break it down to prime numbers: Ex. the prime factorization of 24: 24= 12 x 2= 3 x 4 x 2= 3 x 2 x 2 x 2 So the prime factorization of 24 is 3 x 2 x 2 x 2.
Answered by Jessica B - Tue Oct 23 23:12:38 2007

How do I teach students basic word problems that use prime factorization?
Q. I'm a substitute and need to teach students how to do a math word problem using prime factorization. They know how to do prime factorization, but how do I explain its use in a word problem? Here's an example: Julie is catering a party for 152 people. She wants to seat the same number of people at each table. She also wants between 2 and 10 people at each table. How many can she seat at each table? The answer is 4 or 8 people can be seated at a table. How do I explain why prime factorization solves this problem? Thank you!
Asked by Goodness - Fri Oct 30 02:05:04 2009 - - 1 Answers - 0 Comments

A. Prime factorisation will allow you to see all the possible cases there are for the situation, and pick out the ones that fit the problem. 152 factorises to 2 x 2 x 2 x 19. From these, you'd pick out any combination of factors that, when multiplied, give an answer between 2 and 10. If you took 2 and 2, you'd have 4. The factors that you didn't take, 2 and 19, multiply together to give you the number of tables that are required. Taking 2, 2 and 2 give you 8 people on each of 19 tables Some smartmouth might say that you could just try to divide 152 by 3,4,5...but you could hit back and tell him to solve the problem that way when party is planned for 4848 people, and between 2 and 100 people per table are needed. I don't know; I've never… [cont.]
Answered by Fob'N - Fri Oct 30 02:25:02 2009

What is an easy way to figure out prime factorization?
Q. Take 1155 for an example. What is the easiest way to figure out the Prime Factorization of that number?
Asked by George - Wed Sep 5 17:42:18 2007 - - 1 Answers - 0 Comments

A. 1155 ^ 105 11 ^ 21 5 ^ 7 3 11, 5, 7, 3
Answered by Miss Scorpio 2009 - Wed Sep 5 17:48:06 2007

What is the prime factorization for the number 152?
Q. im having trouble with prime factorization so if you have any tips or the answer for this 1 number plz tell me!
Asked by xxashlee101xx - Mon Feb 2 19:45:19 2009 - - 7 Answers - 0 Comments

A. 152/2= 76/2= 38/2= 19 so the factors are 2, 2, 2, 19 when its an even number just divide it by 2 until u cant divide anymore
Answered by k_wes01 - Mon Feb 2 19:49:28 2009

How do you find the prime factorization?
Q. How do you find the prime factorization of 432? I can;t seem to get it id tried 3 times already! Please show me step by step instructions! Thanks!
Asked by Amy J - Wed Nov 12 19:57:48 2008 - - 2 Answers - 0 Comments
how can you use the prime factorization of two numbers to find their least common multiple?
Q. How can you use the prime factorization of two numbers to find their greatest common facot? Give examples. How can you use the prime factorization of two numbers to determine whether they are relatively prime?
Asked by nashobamakni - Mon Oct 22 20:48:37 2007 - - 2 Answers - 0 Comments

A. LCM: Multiply together one of each duplicated factor and each unduplicated factor. GCF: Multiply together all duplicated factors. The numbers are relatively prime if they have no common prime factors.
Answered by Tom - Mon Oct 22 20:56:18 2007

How does factorization work with equations?
Q. I forgot how to do factorization when it comes to equations. I know how to do expansion, but I'm not sure how to do factorization. For example, how would you factorize: 6m - 2 (the m is a variable) I'm not sure how to do the steps. Thanks in advance =)
Asked by Haku Keiichi - Thu Aug 28 00:34:08 2008 - - 4 Answers - 0 Comments

A. common factor of 6 and 2 is 2 2(3m - 1)
Answered by norman - Thu Aug 28 00:40:39 2008

What is the prime factorization for 125?
Q. I need to know the prime factorization for 125. What 2 numbers will give me 125?
Asked by Fahmida A - Thu Jan 25 18:53:03 2007 - - 9 Answers - 0 Comments

A. 25 times 5 or 5x5x5
Answered by lexx - Thu Jan 25 19:00:41 2007

What do they mean when they say find the prime factorization of the #s 352, 89, and 156? Put in exponential?
Q. What do they mean when they say to find the prime factorization of the #s 352, 89, and 156? Put in exponential form? How do I know if they are Prime numbers or not? what does ^ mean?
Asked by Angie_ 94 - Thu Apr 6 23:16:51 2006 - - 3 Answers - 0 Comments

A. The question relates to two things: the first is to determine basically what numbers it takes multiplied together to create the final number in question. To do this, you start with the prime numbers, i.e., numbers which are only divisible by 1 and themselves. Several examples of these would be 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, and so on. Take 352, for example: 352/2 = 176 176/2 = 88 88/2 = 44 44/2 = 22 22/2 = 11 You have exhausted the number 2. Now move on to the next prime number by which 11 is divisible. As 11 itself IS a prime number, the answer is 11. The second part of the question relates to exponential form. How many times did you divide 352 by 2 until you… [cont.]
Answered by TrueGentleman1130 - Thu Apr 6 23:17:52 2006

What is the prime factorization of 7700 in exponential form?
Q. 2. Find the greatest common factor of 270 and 360. Give the answer in numerical form, and in exponential form. Thank you very much. I also need number 2 worked out as well. Thank you. I don't know why. I don't have enough points to give thumbs up or down. Thanks everyone.
Asked by Mommas - Mon Jan 28 08:26:14 2008 - - 3 Answers - 0 Comments

A. 1. 7700 = 77 * 100 = 11 * 7 * 50 * 2 = 11 * 7 * 25 * 2^2 = 11 * 7 * 5^2 * 2^2 2. 270 = 27 * 10 = 3^3 * 5 * 2 360 = 36 * 10 = 2^2 * 3^2 * 5 * 2 = 2^3 * 3^2 * 5 GCF = 3^2 * 5 * 2 = 90
Answered by Jason - Mon Jan 28 10:33:56 2008

What is the factorization of the polynomial below?
Q. 2x squared + 24x + 72 how would you know that those are the correct factors?
Asked by 11:11 - Sun Dec 16 16:40:11 2007 - - 4 Answers - 0 Comments

A. =2(x + 6)^2 Start with the original equation: 2x^2 + 24x + 72. You factor out the 2 from the first term (because it divides into all the terms evenly) to get: 2(x^2 + 12x + 36). Then factor what's left in the brackets (what two terms multiply to 36 and add to 12, which would be 6 and 6). Therefore you get: 2(x + 6)(x + 6). A term multiplied by itself is the same as squaring it, and thus, you get: 2(x + 6)^2.
Answered by Glo - Sun Dec 16 16:52:35 2007

What is the difference between a fraction and factorization?
Q. Can you provide an example of each one, please.
Asked by Zola - Mon Jun 8 10:37:08 2009 - - 6 Answers - 0 Comments

A. a fraction is a number over another number--showing a ratio, or a portion of a whole number (such as 1/2, 13/15, 5/10, etc) Factorization is simplifying a group of numbers into factors x^2 + 5x + 6, can be simplified by factoring: (x + 3)(x + 2)
Answered by Katie - Mon Jun 8 10:45:02 2009

The prime factorization of a number is 2x3x7. What is the number?
Q. The prime factorization of a number is 2x3x7. What is the number?
Asked by pope - Tue Oct 27 22:00:56 2009 - - 2 Answers - 0 Comments

A. It is clearly 42. 2x3x7 = (2x3)x7 = 6x7 = 42.
Answered by KiwiJoey - Tue Oct 27 22:05:44 2009

How do you reduce fractions using "prime factorization"?
Q. Reduce these fractions before multiplying: 5/8 x 3/10 I do not understand how to do it. The book gives lots of mumbo jumbo, can you do that problem, and explain your steps of solving it so I can follow the steps myself?
Asked by Anonymous - Sat Apr 5 22:42:44 2008 - - 5 Answers - 0 Comments

A. = 5/8 * 3/10 = ([5 * 1]/[2 * 2 * 2]) * ([3 * 1]/[2 * 5]) cancel out the 5 = (1/[2 * 2 * 2) * (3/2) = 1/8 * 3/2 = 3/16 OR: = 5/8 * 3/10 = 15/80 = (5 * 3)/(2 * 2 * 2 * 2 * 5) cancel out 5 = 3/(2 * 2 * 2 * 2) = 3/16 Answer: in any way, that is, before or after multiplying, you may cancel out 5 at the top and the bottom of the slash sign (/). It will yield a reduced to lowest terms product of 3/16. Check (reverse the operations to go back to the multiplicand): = (3/16)/(3/10) = 3/16 * 10/3 = (3/[2 * 2 * 2 * 2]) * ([2 * 5]/3) cancel out 3 = (1/[2 * 2 * 2 * 2]) * ([2 * 5]/1) cancel out a 2 = (1/[2 * 2 * 2]) * (5/1) = 5/(2 * 2 * 2) = 5/8
Answered by Jun Agruda - Sat Apr 5 22:57:56 2008

What is the factorization of this trinomial?
Q. -2q^2+10q+28 = ? I've tried working it out and it's just not happening. If you could show your work, I would appreciate it. I want to see where I went wrong. Thanks!
Asked by Pia - Tue Oct 13 22:47:34 2009 - - 1 Answers - 0 Comments

A. Factor out the greatest common factor (2) (Divide everything by 2, put it in parentheses, and put the GCF outside.) 2(14 + 5q + -1q^2) Then factor inside the parentheses (Un-f.o.i.l) 2(7 + -1q)(2 + q)
Answered by squeeky714 - Thu Oct 15 03:37:52 2009

What is the prime factorization of 225?
Q. What is the prime factorization of 225?
Asked by manal k - Wed Jan 28 01:48:08 2009 - - 3 Answers - 0 Comments

A. it helps to memorize some divisibility rules start with the smallest prime is it divisible by 2 (is it even?) no is it divisible by 3 (sum of all the digits divisible by 3) 2+2+5=9 yes so 3 goes into 225 - 75 times 3*75=225 keep going with 75 start over 2 no 3 yes since 7+5=12 3 goes into 75 - 25 times 3*3*25=225 now 25 2 no 3 no since 2+5=7 5 (divisible if ends in 0 or 5) yes 5 goes into 25 - 5 times 3*3*5*5=225 now that we got a number that's prime(5) we are done
Answered by mathguy - Wed Jan 28 01:57:11 2009

Is this the correct prime factorization of the polynomial?
Q. I just thought of a polynomial, 24a+30x+54y+42z. Now, since the GCF of the numbers is 6, I should divide them all out by six. Making the factorization 6(4a+5x+9y+7z). And, the GCF of 4, 5, 9, and 7 is 1, so I believe this is right. So is this prime now? (I'm in 7th grade, and this isn't homework, I'm just working on my own)
Asked by ZZ - Fri Jan 19 19:34:19 2007 - - 2 Answers - 0 Comments

A. Yes. In this case, this is correct. If you had two like variables, you would now combine them and continue to factor. Or, if you can divide the polynomial into two binomials that share a factor, you would be able to continue farther. But your polynomial doesn't fit either of these circumstances, so yours is as factored as possible.
Answered by stephieSD - Fri Jan 19 19:42:35 2007

What is the easiest way to learn prime factorization and apply it when reducing fractions to their lowest term
Q. I'm trying to reduce fractions to their lowest term using this method . Im just not understanding it. thanks
Asked by LFISCHER - Mon Feb 4 22:26:56 2008 - - 1 Answers - 0 Comments

A. My method is if the numerator and denominator are both even numbers, cut it in half. If they are still evens, cut it again. If you can sum the digits in both the numerator, sum the digits in the denominator, and they both total a number divisible by 3, divide each by 3. If there's a 5 or a 0 in both, you can divide both by 5. Usually this will do it. You may want to test 7, 11, 13 on both if you're really not sure. So you keep going until you get low enough to see for yourself it can't get any lower.
Answered by Eric S - Mon Feb 4 22:36:25 2008

What is the simplest way to do prime factorization and LCM?
Q. What is the simplest way to do prime factorization and LCM?
Asked by Hazeleyesisme - Fri Apr 10 12:53:37 2009 - - 5 Answers - 0 Comments

A. There are several methods. My two favorites are the factor tree and successive division. factor tree: Start with the number to be factored at the top. Under it, split it two factors that you know of (any two). Repeat the splitting of anything that isn't prime until all the "leaves" are prime. ... 100 .../ ... \ ... 5 ... 20 ... / .. \ ... 4 ... 5 .../ .. \ ... 2 ... 2 Now just read the "leaves" to determine the prime factors. 2 x 2 x 5 x 5 = 100 successive division: Start with the number. Divide it by 2 as much as possible. When that is exhausted, try 3, then 5, then 7, then 11, etc. 100 / 2 = 50 50 / 2 = 25 25 / 5 = 5 5 / 5 = 1 Read the divisors: 2 x 2 x 5 x 5 = 100 lowest common multiple (LCM): As for figuring out the LCM,… [cont.]
Answered by Puzzling - Fri Apr 10 13:00:40 2009

How to write the prime factorization using exponents?
Q. Write the prime factorizations of 5184 using exponents.
Asked by BananaGun - Wed Nov 18 22:14:21 2009 - - 2 Answers - 0 Comments

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