My 6th grade twin girls have a problem they can not figure out, I don't know it and I've called my brother who is my backup when I can not help them with a question. "Write the prime factorization in exponent form.....780 is the number we have to work with". How do we do this?? And no, I don't do my daughters homework. I am one of those moms who cares about them and I try to help when they need it.
2007-02-22 10:14:24 · 11 answers · asked by Babygirl 2 in Education & Reference ➔ Homework Help
Take the number 780 and divide it by the smaller prime factor (in this case 2). you´ll get 390. Then, divide this by 2 again and you´ll get 195. This can`t be divided by 2, so you`ll have to use another prime. 195 can be divided by 3 and you`ll get 65. 65 can´t be divided by 3, so you`ll have to divide it by 5 and you`ll get 13. Since 13 is itself a prime, you can only divide it by itself and you`ll get 1.
So, the factorization is over and you have come to the result that 780 = 2^2*3*5*13.
And that`s it!!!
2007-02-22 10:26:57 · answer #1 · answered by Carla 4 · 0⤊ 0⤋
The best way to find the prime number is to make a fraction tree!
Start with 780 at the top. What is the lowest number that can go into 780 (besides 1)? It is 2. So divide that. Post the answer beside what you took out of it. Ask yourself again. What is the lowest number that goes into 390? 2. etc ...
780
2 x 390
2 x 2 x 195
2 x 2 x 5 x 39
2 x 5 x 3 x 13
As you can see, on every level, it will always equal 780. All you're doing is breaking down 780 until you can't divide by anything at all! Hope it helped.
2007-02-22 11:14:23 · answer #2 · answered by Ami 2 · 0⤊ 0⤋
Prime factorization is just dividing by the smallest number you can(usually a 2 or 3) until you reach a prime number. It has to go into the number evenly. NO DECIMALS! Here you would divide 780 by 2 which = 390, divide 390 by 2 which = 195, divide 195 by 3, which = 65, divide 65 by 5 which = 13. 13 is a prime number! Then you take all the numbers that you divided by like: 2 x 2 x 3 x 5, then you combine like terms, (2^2 is supposed to be 2 squared) ..... 2^2 x 3 x 5. then take your prime number (13) and multiply that to. like: 2^2 x 3 x 5 x 13 and that is your anwser for the prime factorization of 780! Hope this helps! Good Luck Girls!
2007-02-22 10:27:01 · answer #3 · answered by Scarlet Hippo 16 3 · 0⤊ 0⤋
Start by dividing 780 by 2. Then that answer by 2 and so on until you can't divide by 2 any more. Then try 3, 5,7,11 and so on.
780/2 = 390 195/3 = 65 65/5=13 13/13 = 1
390/2 = 195
You divided by 2 twice, by 3 once, by 5 once and by 13 once.
Therefore: 2 x 2 x 3 x 5 x 13 =780
In exponent form it would by 2^2(2 to the second power) x 3 x 5 x 13.
Notice that 2, 3, 5, 13 are all prime numbers.
2007-02-22 10:26:19 · answer #4 · answered by billyshears 3 · 0⤊ 0⤋
To find the prime factorization you must factor 780. When I was in school they taught me "factor trees." Take 780, divide it by 2 and write below it 2 and 390. Then factor 390. Maybe by 3 because 3 goes in evenly so then put 3 and 130. Then factor 130. Put 13 and 10. Then factor 10 by 2 so then write under that 2 and 5. The prime factorization would be: 2x3x13x2x5 (The numbers on the outside of the tree.)
2007-02-22 10:24:40 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Prime factorization is when you take apart a number to its most prime form. For example, 780 is 2 times 2 times 3 times 5 times 13. exponent form is just putting the equal numbers as exponents like 2 squared times all the other numbers.
2007-02-22 10:50:29 · answer #6 · answered by PinkFlamingo 1 · 0⤊ 0⤋
780=2*390=2*2*195=2*2*3*65=2*2*3*5*13=2^2*3*5*13
Something like that. Try and check the math though!
GOOD LUCK! =)
2007-02-22 10:19:17 · answer #7 · answered by Tanya :] 4 · 0⤊ 0⤋
prime numbers are 3 5 7... etc in that problem you ahev to find all the prime numbers that go into that number "780"
Good luck
2007-02-22 10:23:20 · answer #8 · answered by dr. anwser 1 · 0⤊ 0⤋
prime factorization in exponets is just like regular prime factorization, but instead of 2*2*2*3*3 you write 2^3 * 3^2
(^ means exponet if you didn't know)
so first do the prime factorization of 780
2*2*5*3*13
and then rewrite it in "exponet form" (note: you do not have to write ^1 because this is understood)
2^2 * 5 * 3 * 13
2007-02-22 10:21:06 · answer #9 · answered by ... 3 · 0⤊ 0⤋
I have no idea. But I can give you a good tip. You can go to www.aaamath.com and go to grade six and click wha is relate to your..er dauters question. Or you can go to google and type in
factorization in exponent form. I hope this helps...
2007-02-22 10:22:06 · answer #10 · answered by attia_waqas 1 · 0⤊ 0⤋