what is the prime factorization of 280gh2?
141990
(assuming the second 2 is an exponent) 2*2*2*7*5*g*h*h \nyou really should learn to do this if you are ever going to get through school though
518133
All factors or prime factors?\n\n12408 / 2 = 6204\n6204 / 2 = 3102\n3102 / 2 = 1551\n1551 / 3 = 517\n517 / 11 = 47\n47 / 47 = 1\n\nSo the prime factors are: 2 x 2 x 2 x 3 x 11 x 47\n\nAll factors would be all the combinations of these prime factors\n1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 47, 66, etc.
614283
the first step is basically to factor 120175.  the obvious factor to do first is 5.  this gives us 5*24035.  then factoring another 5 gives us 5*5*4807.  since 4807 obviously isn't divisible by 5 or 2, try 3.  doesn't work - so keep on trying the next biggest prime number (1,2,3,5,7,11,13,17...)  turns out that 4807 is divisible by 11.  this gives us 5*5*11*437.  keep on going and you get 5*5*11*19*23.  just checking, yes - 5*5*11*19*23=120175.\n\nnow converting these factors into letters, you get the available letters EEKSW.  this can be rearranged to be WEEKS.  however, remember that 5*5*11*19*23 can also be written as 25*11*19*23, since this also equals 120175.  this means the word could also have KSWY.  but i don't think you can rearrange those letters to make a word.\n\nso therefore the english word encoded as 120175 is WEEKS.  basically, you factored the number, converted them into letters, and solved the anagram.\n\n[[edit]]\n\ninuyasha's right - there could be an infinite number of "a"s in there too since 5*5*11*19*23 = 5*5*11*19*23*1*1*1*...\n\nhowever, this gives us WEEKS+AAA... so using the online anagram solver, found at http://wordsmith.org/anagram/ , there are no words that have "WEEKS" in them and "A"s.  therefore, the answer is still WEEKS.
850647
Too long to print but here's the website\n\n(2^3021376)(2^3021377-1)\n\nThere are 1,819,050 digits\n\nhttp://www.calendarhome.com/prime/perfect4.html\n\nPlease note that the highest perfect prime number currently known, will continue to change when a higher one is found.
955219
ok so prime factorization is basically factoring a number into it's multiple primes. for example, to prime factorize 12, u'd figure out what it's multiples are- 4 and 3 (or 6&2..1&12 u get the point), ok now break down 4 to prime numbers- 2 and 2. and since 3 is already prime u don't have to do anything to it. so the prime factorization of 12 is 2^2 and 3
924243
(q - 6h)(g - 6h) \n= q(g - 6h) - 6h(g - 6h)\n= gq - 6hq - 6gh + 36h² (-6h x -6h = +36hh = +36h²)\n\n8q²j - 12g³hj \n= 2 x 2 x 2 x q x q x j - 2 x 2 x 3 x g x g x g x h x j\n= 2 x 2 x j x (2 x q x q - 3 x g x g x g x h)\n= 4j(2q² - 3g³h)  (The common factors in each part are the multiplier, the remaining factors are what are left inside the parentheses ... and always remember that 1 is always a factor of any number .. see example below)\n\n5g²h - 10g³h²\n= 5 x g x g x h - 2 x 5 x g x g x g x h x h\n= 5 x g x g x h x (1 - 2 x g x h)\n= 5g²h(1 - 2gh) (because 5g²h x 1 = 5g²h)
703992
120(14-6)\n\nStep 1: 120(8) <---- because in order of operations, the "p" which is parentheses in "pemdas" is first\nSteo 2: 120 x 8= 960 <------------- because when a number is outside the parentheses yet doesn't have any operation sign between them, u do multiplication
942005
It helps to write the actual question in the body of the message so people can read it :)\nHowever, it is still visible in some other places.\nThe only primes between 40 and 50 are 41, 43, 47. Add one to get 42, 44, 48. \n42 = 2*3*7 which adds to 12.\n44 = 4*11 which adds to 15.\n48 = 2*2*2*2*3 which adds to 11.\nSo you want 47.
947340
a) 72*60*24*30=3110400\nb) 3110400*12 = 37324800\nc) 37324800*72=...................................... :))
812323
The prime factors of 1992 are 2 x 2 x 2 x 3 x 83.\n\nBy including 2 * 4 * 6, you have already covered 2 x 2 x 2 x 3, but you need to cover 83.  83 is prime, so the first time you have an even number that has 83 as a factor will be 166 (2 * 83).\n\nThat means you must figure the product of 2 * 4 * 6 * ... * 164 * 166 for it to be divisible by 1992.\n\nThe answer is largest even number in the product is 166.
568424
28 = 2 x 2 x 7\n35 = 5 x 7\n45 = 3 x 3 x 5\n\nso prime factors are 2, 3, 5 and 7.... and the square root is 2 x 3 x 5 x 7 = 210.
107842
Grid Computing or distributed computing like SETI@home or folding@home\n\nOr finding a mersenne prime numbe at http://www.prime95.com\n\nThe time it takes to run a Lucas-Lehmer primality test depends on the speed of your computer and the size of the exponent you are testing. Today's typical computer, say a 2 GHz P4, takes two to three weeks of 24 hours a day operation to complete a single primality test.\n\nSo more computer power can definitely help.\n\nAlso check out http://toolbar.google.com/dc/offerdc.html
320622
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.\n\nTo 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.\n\nTake 352, for example:\n352/2 = 176\n176/2 = 88\n88/2 = 44\n44/2 = 22\n22/2 = 11\nYou 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.\n\nThe second part of the question relates to exponential form.  How many times did you divide 352 by 2 until you hit an odd number?  Five times.  So, the exponential expression of the prime factorization of 352 is 2 to the 5 (which is not posible to illustrate here.  Write the number 2 and then write a small 5 to the upper right,) * 11\n\n2(5) * 11 = 352\n\nNow take the other two numbers.  If you look at the list I provided above, you will note that 89 is a prime number.\n\n1 * 89 = 89\n\nFinally, take 156.\n\n156/2 = 78\n78/2 = 39\n39/3 = 13\n\n2(2) * 3 * 13 = 156\n\nHope this helps.\n\nPlease take time to pick the best answer.\n\nI tip the hat to the people who chose to use the "^" key.  I could not think of a way to describe it otherwise.  Their representation is probably more valid than my use of parentheses, which would actually represent something else altogether.  Note well though that I indicated how to write "two to the fifth power" in my paragraph above.
327555
115 to 42 \nor 2.738 to 1
56508
first, do 2 to the 12th power (exponents take precedent over multiplication) which is 4096. Then multiply that by 86 and get 352256.  It's quite simple, really.
465400
2, 3, 5, 7, 11\n28\n\nFYI- 1 is not a prime number! It is only divisible by 1. To be a prime number, it must be divisible by 2 numbers.\n\nprime numbers up to 20-\n2, 3, 5, 7, 11, 13, 17, 19\n\nto find a prime number, start at the number 2. cross out every other number (that would be 4, 6, 8, even numbers). Then cross out every 3rd number, every 4th number, and so on. The remaining numbers are prime!\n\nHope this helps!
1138566
Have a look at http://alumnus.caltech.edu/~chamness/prime.html - it's a Java prime number generator with source code