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

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

Question 271977: Find the prime-factored form of the following number.
36 please show me how to do this one.
Click here to see answer by dabanfield(803)

Question 273193: If the sum of all the positive divisors of an integer n is equal to 2n, then n is called a perfect number. Which of the following is a perfect number?
(A) 4 (B) 8 (C) 12 (D) 24 (E) 28
Click here to see answer by J2R2R(94)

Question 273720: What is the gcf of 24 and 441
Click here to see answer by CharlesG2(834)

Question 273720: What is the gcf of 24 and 441
Click here to see answer by solver91311(24713)

Question 274568: If p and r are prime numbers, which of the following must also be prime?
A p+r b pr+1 c p^2 + r^2 d none of above

Click here to see answer by checkley77(12844)

Question 274650: What is the smallest postive integer that is divisible by itself, 1, and eight other postive integers?
A) 30
B) 48
C) 78
D) 169
Click here to see answer by JBarnum(2146)

Question 274835: If n = pqr, where p, q, and r are three different positive prime numbers, how many different positive divisors does n have, including l and n?
a) 3 b) 5 c) 6 d) 8
Click here to see answer by dabanfield(803)

Question 274875: simplify 90/132
Click here to see answer by Tierra K(1)

Question 275093: Suppose n is divisible by 8 but not by 3. Then which of the following CANNOT be an integer?
A n/2 b n/4 c n d n/6

Click here to see answer by Edwin McCravy(20054)

Question 275093: Suppose n is divisible by 8 but not by 3. Then which of the following CANNOT be an integer?
A n/2 b n/4 c n d n/6

Click here to see answer by Theo(13342)

Question 275854: I need some help with a proof.
Let p & q be 2 consecutive primes. Then p+q=2n for some n. Is n always composite. I have some examples but not sure how to write proof.
Examples: 11, 13 11+13=24 13,17 13+17=30
Thank you
Click here to see answer by solver91311(24713)

Question 276058: A man is 67 1/12 inches tall and his daughter is 60 8/9 inches tall. How much taller is the man? The man is __ inches taller. Simply your answer. Type an integer or a mixed number.
Click here to see answer by richwmiller(17219)

Question 276471: Graph the system of linear equations. Does the system have exactly one solution no solution or infinitely many solutions?

Click here to see answer by checkley77(12844)

Question 276632: the square of a whole number is between 300 and 400 the number must be between?
Click here to see answer by stanbon(75887)

Question 276632: the square of a whole number is between 300 and 400 the number must be between?
Click here to see answer by solver91311(24713)

Question 276719: prime numbers between 16 and 54
Click here to see answer by user_dude2008(1862)

Question 277966: The sum of the digits in the smallest positive integer that is divisible by 2, 4, 6, 10, 12, and 14 is:
(A) 3 (B) 6 (C) 9 (D) 15 (E) 18
Click here to see answer by Edwin McCravy(20054)

Question 280578: What is -1 divided by -1? Please?!?
Click here to see answer by oberobic(2304)

Question 281667: i need help with this problem X squared -X - 12
Click here to see answer by Alan3354(69443)

Question 281667: i need help with this problem X squared -X - 12
Click here to see answer by jim_thompson5910(35256)

Question 281911: write the following number as a product of primes. 80
Click here to see answer by nabla(475)

Question 281880: Which number is a counterexample for the statement: If a is a prime number, then a is odd.
A)5 B) 4 C) 3 D) 2 E) 12

Click here to see answer by nabla(475)

Question 282014: what is the greatest common divisor of the number
104,405
Click here to see answer by solver91311(24713)

Question 282017: A STORE OWNER WISHES TO STACK BOOKS INTO EQUAL PILES, EACH PILE CONTAINING ONLY ONE TITLE. THERE ARE 30 BOOKS OF ONE TITLE AND 70 BOOKS OF ANOTHER TITLE IN A SHIPMENT. wHAT IS THE LARGES NUMBER OF BOOKS THAT CAN BE STACKED IN EACH PILE?
Click here to see answer by solver91311(24713)

Question 282015: NEED TO FIND LEAST COMMON MULTIPLE OF THE NUMBERS
105 AND 180
Click here to see answer by solver91311(24713)

Question 282011: 11,500
FIND THE PRIME FACTORIZATION OF THE COMPOSITE NUMBER

Click here to see answer by Mathematicians(84)

Question 278829: do i learn alot of stuff on this site ?
Click here to see answer by JBarnum(2146)

Question 278829: do i learn alot of stuff on this site ?
Click here to see answer by Alan3354(69443)

Question 277958: The prime factorization of 2000 can be written 2000 = 2^x 5^y.
The sum x + y equals
A.6 B.7 C.8 D9 E.10

Click here to see answer by JBarnum(2146)

Question 277302: 8.225/.035
Click here to see answer by JBarnum(2146)

Question 285321: DESCRIBE A SITUATION IN WHICH THE LEAST COMMEN MULTIPLE OF THE TWO NUMBERS IS ONE OF THE NUMBERS
Click here to see answer by richwmiller(17219)

Question 285529: How many positive integers below 2009 are divisible by both 4 and 6?
A. 502 B. 334 C. 167 D. 83 E. None of these.
Click here to see answer by Theo(13342)

Question 286011: Is the following set of numbers a perfect triple? 6, 8, 10
Click here to see answer by nabla(475)

Question 286764: If a divided by 4 leaves a remainder of 2 and b divided by 4 leaves a remainder of 3, then when a + b is divided by 4, the remainder is
A. 0 B. 1 C. 2 D. 3 E. 4
Click here to see answer by Edwin McCravy(20054)

Question 287848: one factor of x^3 + 2x^3 - 11x - 12 is x + 4. Find the remaining factors.
Click here to see answer by Edwin McCravy(20054)

Question 288318: find the smallest number which leaves remainder 8 and 12 when divided by 28 & 32, respectively.
Click here to see answer by richwmiller(17219)

Question 288317: the prime factors of 1058 are 2,2r-1,2r-1 Find "r"
Click here to see answer by checkley77(12844)

Question 288319: A positive number when divided by 35 gives the remainder 33. What will the remainder be if this number is divided by 7?
Click here to see answer by richwmiller(17219)

Question 288285: The sum of all the prime numbers which are greater than 6 and less than 37 is
(a) 121 (b) 137 (c) 150 (d) 177 (e\ 184

Click here to see answer by Alan3354(69443)

Question 288340: State whether 10.64 is rational or irrational. If yes, then express it in terms of p/q.
Click here to see answer by richwmiller(17219)

Question 288339: Is 2 route 45 + 3 route 20 divided by 2 route 5 rational or irrational?
Click here to see answer by richwmiller(17219)

Question 275844: I am trying to use Fermat's factorization technique to find the prime factorization of 1807. I am using the formula √(n^2- 1807)(square root). I have tried up to 167 and am having little luck. I would appreciate some help. Thank you
Click here to see answer by Alan3354(69443)

Question 289483: What is the smallest number divisible by three that is the sum of four distinct primes?
(a) 18 (b) 21 (c) 24 (d) 27 (e) None of the above

Click here to see answer by vleith(2983)

Question 289532: What is the smallest number that should be added to 1000 so that 45 divides the sum exactly?
Click here to see answer by richwmiller(17219)

Question 289718: What is the prime factorization of 385 Please show the steps
Click here to see answer by stanbon(75887)

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, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295