# Questions on Algebra: Divisibility and Prime Numbers answered by real tutors!

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 Algebra: Divisibility and Prime Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 361247: Find remainder when the sum 4^37 + 6^37 is divided by 25. A) 5 B) 10 C) 15 D) 20 E) None Click here to see answer by edjones(7569)

 Question 362203: a number between 200 and 300 divisble by 2,3,4,5 Click here to see answer by solver91311(16868)
 Question 362203: a number between 200 and 300 divisble by 2,3,4,5 Click here to see answer by HasanSahin(52)

 Question 362398: what is the greatest possible value in 3 28n to form a four-digit number divisible by 6? Click here to see answer by Fombitz(13828)

 Question 364481: How many integers from - 3000 to 3000 inclusive are divisible by 3 ? Click here to see answer by Fombitz(13828)

 Question 364790: tom bought a book for 19.95 and a cd for 11.95. tax was 6 %. what was the change from 35.00 Click here to see answer by josmiceli(9645)

 Question 365076: I'm having problems on divisibilty on my homework. The exact directions are: Test each number for divisibilty by 2,3,5,9 or 10. Here is ONE problem from my homework. 1) 126 This is the number you have to test. Thanks Click here to see answer by ewatrrr(10682)
 Question 365076: I'm having problems on divisibilty on my homework. The exact directions are: Test each number for divisibilty by 2,3,5,9 or 10. Here is ONE problem from my homework. 1) 126 This is the number you have to test. Thanks Click here to see answer by CharlesG2(828)

 Question 365476: I need to find the prime factorization of 7,623. Which I found that 3*3*7*11*11 is the prime factorization, I just need someone to show me the steps to getting 3*3*7*11*11 Thank You Click here to see answer by CharlesG2(828)

 Question 366789: Show that any integer N = 7 modulo 8 cannot be expressed as the sum of the squares of three integers. Click here to see answer by Sphinx pinastri(17)

 Question 366034: Find the smallest value of a positive integer x such that x^2 + 4 is divisible by 25. A) 4 B) 7 C) 6 D) 5 E) 8 Click here to see answer by Sphinx pinastri(17)

 Question 358858: Is it correct to say that 0.05 is a factor of 99 since you can multiply 0.05 by 1980 to get 99? Thank you. Click here to see answer by algebrastudent611(8)

 Question 345659: an mp3 player is listed for \$55 . your local electronic store is having a 15% off sale on all items. you also found a 10% off coupon online. assume the state tax is 6% a) joe calculates the total cost of the mp3 player in the following matter 55(1.06)=58.30 58.30(.85)=49.555 49.555(.9) =44.5995 He concluded the mp3 would cost \$44.60. is this price correct? b) how much of the total coast will be taxed Click here to see answer by algebrastudent611(8)

 Question 360749: Find the remainder when the sum 4^37 + 6^37 is divided by 25. A) 5 B) 10 C) 15 D) 20 E) None Click here to see answer by Sphinx pinastri(17)

 Question 360395: Find the remainder when the sum 4^37 + 6^37 is divided by 25. A) 5 B) 10 C) 15 D) 20 E) None Click here to see answer by Sphinx pinastri(17)

 Question 360086: Find the remainder when the sum 4^37 + 6^37 is divided by 25. A) 5 B) 10 C) 15 D) 20 E) None Click here to see answer by Sphinx pinastri(17)

 Question 363643: Trying to help my child with homework and can't figure out the formula. Please help: There are N number of buttons in a sewing box. N is greater then 40. N is less then 80. N is divisable by 5 with a remainder of 2. N is divisable by 7 with a remainder of 4. Solve for N. We are able to find N by process of elimination (N = 67) but I need the formula to help my child with future similar problems. Please help! Click here to see answer by Sphinx pinastri(17)

 Question 368639: steps to how to solve 7 divided by 54 and 6 divided by 61 Click here to see answer by rfer(12644)

 Question 371692: Write a true sentence using either < or >. -0.511 ___ -0.51 Click here to see answer by user_dude2008(1861)

 Question 371695: Translate the following phrase into an algebraic expression: “One ninth of the difference of a number and fourteen Click here to see answer by stanbon(57214)

 Question 371694: Translate the following sentence into an equation. Do not solve. “Fifteen less than one fourth a number is 58 Click here to see answer by nyc_function(2733)

 Question 372855: what prime numbers are less then 200 but, have the prime factors 2,3,and 7? Click here to see answer by Alan3354(30945)

 Question 374642: A CD player is on sale for \$270. What was the original price of the CD player if the discount was 2/5 of the original price? Click here to see answer by rfer(12644)
 Question 374642: A CD player is on sale for \$270. What was the original price of the CD player if the discount was 2/5 of the original price? Click here to see answer by mananth(12270)

 Question 375176: How can I factor this problem the easy way x-12+35x Click here to see answer by robertb(4012)

 Question 375731: Sir I Need some help in how to determine whether the given number is prime or not for the large numbers. for ex.119547120987 Click here to see answer by Fombitz(13828)

 Question 376331: Find the GCF and LCM of: a. 1,501 and 475. b. 2,599 and 2,825. Click here to see answer by robertb(4012)

 Question 376342: The GCF of two numbers is 6 and the LCM is 36. One of the numbers is 12. What is the other number? Click here to see answer by user_dude2008(1861)

 Question 376344: Estimate the value for the expression First, use front-end estimation with adjustment; then, use rounding. Which method do you think gives an estimate that is closer to the exact answer? Explain. 3128 +1144 + 4178 + 5130 Click here to see answer by rfer(12644)

 Question 376473: Test each of these numbers for divisibility by 3, 5, and 11 without using a calculator: Explain your reasoning. a. 56743 b. 69916800 Click here to see answer by Fombitz(13828)

 Question 376688: Hi, I just happened to wonder what the prime factorization of 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 was and I don't think your calculator (http://www.algebra.com/algebra/homework/divisibility/factor-any-number.solver) is giving me the right answer. It tells me: 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 is NOT a prime number: 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 269 * 377911 * 22658561 but I happen to think that 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 = 5174413344875007990519123187618500139954995264909695897020209972309881454541 * 1325290319363741258636842042448323483211759628292406959481461131759210884908747 could you maybe shed some light on the matter? I tried to get my Ti83 to work it out but it acted odd... Also, I don't think 5174413344875007990519123187618500139954995264909695897020209972309881454541 = 2^200 * 5^2 * 251003 * 513148501, because that would be 5174413344875008388754966029640933369099339830916797506938194267747857203200, and I'm also pretty sure 5174413344875007990519123187618500139954995264909695897020209972309881454541 and 1325290319363741258636842042448323483211759628292406959481461131759210884908747 are both prime. How come it's not giving me the right answer? Is there a good calculator (something better than Ti83) that would factor this kind of numbers for me? Thankx! Click here to see answer by rfer(12644)
 Question 376688: Hi, I just happened to wonder what the prime factorization of 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 was and I don't think your calculator (http://www.algebra.com/algebra/homework/divisibility/factor-any-number.solver) is giving me the right answer. It tells me: 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 is NOT a prime number: 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 269 * 377911 * 22658561 but I happen to think that 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 = 5174413344875007990519123187618500139954995264909695897020209972309881454541 * 1325290319363741258636842042448323483211759628292406959481461131759210884908747 could you maybe shed some light on the matter? I tried to get my Ti83 to work it out but it acted odd... Also, I don't think 5174413344875007990519123187618500139954995264909695897020209972309881454541 = 2^200 * 5^2 * 251003 * 513148501, because that would be 5174413344875008388754966029640933369099339830916797506938194267747857203200, and I'm also pretty sure 5174413344875007990519123187618500139954995264909695897020209972309881454541 and 1325290319363741258636842042448323483211759628292406959481461131759210884908747 are both prime. How come it's not giving me the right answer? Is there a good calculator (something better than Ti83) that would factor this kind of numbers for me? Thankx! Click here to see answer by jim_thompson5910(28476)
 Question 376688: Hi, I just happened to wonder what the prime factorization of 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 was and I don't think your calculator (http://www.algebra.com/algebra/homework/divisibility/factor-any-number.solver) is giving me the right answer. It tells me: 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 is NOT a prime number: 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 269 * 377911 * 22658561 but I happen to think that 6857599914349403977654744967172758179904114264612947326127169976133296980951450542789808884504301075550786464802304019795402754670660318614966266413770127 = 5174413344875007990519123187618500139954995264909695897020209972309881454541 * 1325290319363741258636842042448323483211759628292406959481461131759210884908747 could you maybe shed some light on the matter? I tried to get my Ti83 to work it out but it acted odd... Also, I don't think 5174413344875007990519123187618500139954995264909695897020209972309881454541 = 2^200 * 5^2 * 251003 * 513148501, because that would be 5174413344875008388754966029640933369099339830916797506938194267747857203200, and I'm also pretty sure 5174413344875007990519123187618500139954995264909695897020209972309881454541 and 1325290319363741258636842042448323483211759628292406959481461131759210884908747 are both prime. How come it's not giving me the right answer? Is there a good calculator (something better than Ti83) that would factor this kind of numbers for me? Thankx! Click here to see answer by robertb(4012)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395