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

Tutors Answer Your Questions about Divisibility and Prime Numbers (FREE)

Question 417637: 2/7+4/21+1/3 please help i need to show work also i need to know how to do this problem?
Click here to see answer by jim_thompson5910(28593)

Question 417872: -5r-6-7+r15
Click here to see answer by rfer(12657)

Question 419344: At a party: exactly 15 people drank some beer, exactly 12 people drank some wine, exactly 10 people drank both beer and wine, and exactly 18 people drank neither beer nor wine. How many people at the party?

Click here to see answer by stanbon(57337)

Question 422157: I can't figure out how to get the answer to this question: Find one possible value for k such as k is an integer between 20 and 40 that has a remainder of 2 when it is divisible by 3 and that has a remainder of 2 when divided by 4.
Click here to see answer by ankor@dixie-net.com(15649)

Question 424289: I can see that it's true but how can I prove that ab=gcd(a,b)lcm(a,b) for any postive integer a and b??
Click here to see answer by AnlytcPhil(1276)

Question 425529: I need to prove:
if a divides b then a divides bx for any integer x
Click here to see answer by richard1234(5390)

Question 428638: All numbers divisible by both "6" and "14" are also divisible by which number?
Click here to see answer by htmentor(789)

Question 429155: Make a table of divisors for 7. (seven factorial)
Click here to see answer by solver91311(16877)

Question 370027: Show that any positive integer N = 7 modulo 8 can never be expressed as the sum of the squares of three other positive integers.
Click here to see answer by Sphinx pinastri(17)

Question 433430: Can you please show me steps to solve the following: (14x^3-5x^2-7x+7)/(2x-1)
I'm stuck. I have so far 7x^2-6x with -1x+7 remainder, I don't know what to do with the -1x+7.
Thank you.
Click here to see answer by stanbon(57337)

Question 434319: Find two integers such that:
• both are odd
• their sum is negative
• their product is −135
• one is a perfect square
• neither is a factor of the other
Click here to see answer by solver91311(16877)

Question 435388: Use the commutative law of addition to write an equivalent expression.
7c + d

Click here to see answer by MathLover1(6628)

Question 435419: Classify the number as prime, composite, or neither.
51

Click here to see answer by solver91311(16877)

Question 435390: Use the distributive property to multiply.
4(4x + 3)

Click here to see answer by jorel1380(2518)

Question 435611: what is the least common denominator of 3,7and 34?

Click here to see answer by Alan3354(30993)

Question 440615: how many positive integers are in 3x-5<2
Click here to see answer by robertb(4012)

Question 441790: use the commutative law of addition to write an equivalent expression.
k+7
Click here to see answer by richard1234(5390)

Question 442923: Formula x2 - x + 41 substitute the x in the formula with 0, then two even numbers, then two odd numbers and see if a prime number occurs. Try to find a number for x that when substituted in the formula yields a composite number
Click here to see answer by ankor@dixie-net.com(15649)

Question 443595: Simplest form of:
-34/-60
Click here to see answer by swincher4391(726)

Question 444571: what is the prime factorization of 90?
Click here to see answer by stanbon(57337)

Question 447516: I need to divide 2x-18/25 divided by x-9/55x. I tried to solve by taking the recipricol of the second fraction and factoring and came up with 22x/5. Is this correct?
Click here to see answer by ewatrrr(10682)

Question 448428: Use the commutative law of addition to write an equivalent expression.
k + 7

Click here to see answer by richard1234(5390)

Question 450415: Use 0, 1, 2, 3, 4 to substitute for x in the formula x2-x+41; see if prime number occurs then find a number for x that when substituted in the formula yields a composite number.

Click here to see answer by Edwin McCravy(8908)

Question 450586: If the statement is true for all integer values of p and q,
explain why. If it isn’t true, give a counterexample.
a. /p/is positive. ( with straight lines though not /)
b. -q is negative.
c. If p is the opposite of q, p+q=0
Thank you
Click here to see answer by richard1234(5390)

Question 451192: which of the following is divvisble by 4? 126 285 324 442 598
Click here to see answer by robertb(4012)

Question 1408: what the freak is the l.c.m AND the g.c.d. of 82, 96 and 112? i'm too tired to try this anymore!
Thanks!
Click here to see answer by tanny(2)

Question 457563: Ming has 15 quarters, 30 dimes and 48 nickels. He wants to gruop his money so that each group has the same number of each coin, How much will each group be worth?
Click here to see answer by josmiceli(9674)

Question 458820: which expression is prime number?
a.x2+4x+3
b.x2+5x+6
c.x2+6+8
d.none of the above
Click here to see answer by MathLover1(6628)

Question 458820: which expression is prime number?
a.x2+4x+3
b.x2+5x+6
c.x2+6+8
d.none of the above
Click here to see answer by richard1234(5390)

Question 460209: 23 is prime

Click here to see answer by Alan3354(30993)

Question 460209: 23 is prime

Click here to see answer by MathLover1(6628)

Question 461564: If N and M are the multiple of 2 which are not divisible by 4 then what will be the reminder when N + M will be divided by 4
A. 0
B. 1
C. 2
D. 3
E. 4

Click here to see answer by edjones(7569)

Question 462731: how will I show that the cube of any number is in the form 7k or 7k+1 or 7k-1
Click here to see answer by robertb(4012)

Question 463039: if n is divisible by 24 and 36 than how it would be divisible by 18
Click here to see answer by algebrahouse.com(1079)

Question 463147: 51,840
Click here to see answer by MathLover1(6628)

Question 464306: Please divide and simplify.
7^4
____
7^4
Click here to see answer by Alan3354(30993)

Question 464546: I don't know how to divide this.
-78r^11
_____
-3r^7
What is the quotient?
Click here to see answer by Alan3354(30993)

Question 464546: I don't know how to divide this.
-78r^11
_____
-3r^7
What is the quotient?
Click here to see answer by ewatrrr(10682)

Question 464546: I don't know how to divide this.
-78r^11
_____
-3r^7
What is the quotient?
Click here to see answer by MathLover1(6628)

Question 464719: It is correct that 3721164=12*17^2*29*37. Give the prime factorization of 372116400 (two zeros are underlined in problem). Notice the two extra zeros.
I really need help, and would appreciate your help!
Click here to see answer by Alan3354(30993)

Question 464748: if n=13^8*17^10, then the prime factorization of 26*n is______.
This is what I have so far, its not much, but I can't go further because I don't understand :( Please help!
26*13^8*17^10
Click here to see answer by Edwin McCravy(8908)

Question 464757: Suppose K=2^5*7*11, L=2^3*7*11*13, M=2*29^2, and N=4*11*13^2*29. Which is the least common multiple of each of the following (in factored form.)
A. K and L
B. M and N
C. K and M
D. K, L, and N
Click here to see answer by richard1234(5390)

Question 464755: When the number 540 is written as a product of it's prime factos in the from a^2b^3c, what is the numerical value of a+b+c?
Click here to see answer by richard1234(5390)

Question 464823: Give the prime factorization where n=4*7^20*5000. and where n=13^7*3000. If it is not possible explain why.
It's no problem if you don't want to explain why just want to get help on getting the prime factorization.
Click here to see answer by richard1234(5390)

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, 1396..1440