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

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

Question 163303: If a number is the square of a prime number, it has exactly 3 divisors. Give an example and explain.
Click here to see answer by Edwin McCravy(8999)

Question 161114: Determine whether the folowing interger is prime or a composite by dividing by prime numbers. If the integer is composite, find at least 2 pairs of factors whose product is the integer.
823
This is not in a Textbook. On a disk.

Click here to see answer by Alan3354(31518)

Question 164130: divisibility of 735,600 by 2, 3 , 4 , 5 6 , 7, 8, 9, 10, 12, 15, 25 ,50 and 100
Click here to see answer by checkley77(12569)

Question 164229: my son has been out with a head injury and is trying to make up work. he is having trouble with the following.
Use a step diagram to find the prime factorization..
ex: 75
Click here to see answer by aka042(26)

Question 158568: How do you divide small numbers
Click here to see answer by allicat2008(3)

Question 166199: I just want to double check to make sure I did this right.
a. How many divisors does 5³ have? What are they?
5³ = 125
Divisors would be 1 , 5, 125
b. The prime factorization of a real number x is 3² * 11³. How many divisors does x have? List the divisors? What is the value of x?
3² = 9
Divisors would be 1, 3, 9
11³ = 1,331
Divisors would be 1, 11, 121, 1331
x = 9 * 1331
x = 11,979

Click here to see answer by Earlsdon(6294)

Question 167661: how many distinct prime numbers are factors of 70
Click here to see answer by Alan3354(31518)

Question 167662: let 5 be the set all intergers divisible by both 6 and 15 which of the following is not a divisor of every member of s 2,5,9
Click here to see answer by aaaaaaaa(138)

Question 168838: x2+11x+18=0
Click here to see answer by Alan3354(31518)

Question 169098: An architect is designing a house for the Frazier family. In the design he must consider the desires of the family and the local building codes. The rectangular lot on which the house will be built has 91 feet of frontage on a lake and is 158 feet deep.
The building codes states that one can build no closer than 10 ft. to the lot line. Write an inequality and solve to see how long the front of the house facing the lake may be.
answer:length = 91 - 2*10 = 71 ft.

The Fraziers requested that the house contain no less 2800 ft square and no more than 3200 ft square of floor sample. Write an inequality to represent the range of permissible widths for the house.
answer: 2800 <= area <= 3200
2800 <= (length)(width) <= 3200
2800 <= 71w <= 3200
39.44 <= width <= 45.07
List other information the Fraziers should consider in making their decision concerning the width of the house.
answer: ?

The Fraziers have asked that the cost of the house be about $175,000 and are willing to deviate from this price no more than $20,000. Write an open sentence involving an absolute value and solve. Give the meaning of the answer.
answer: ?

please help
i appretate it
thank u
Click here to see answer by vleith(2825)

Question 169412: i am a number that is divisible by 2,3,4 and,5 and less than 200
Click here to see answer by Mathtut(3670)

Question 169461: i am an odd number between 120 and 150 that is not divisible by 3,5,7 or 9 who am i?
Click here to see answer by midwood_trail(310)

Question 172501: My math teacher gave the class the following problem"
(1+1/2)(1+1/3)(1+1/5)(1+1/7)(1+1/11)...(1+1/prime) > 10
What is the first prime number that works in the above?"
He told us that if we could answer the problem within a week we could get bonus points on the exam. Could you please help me solve this problem?
Click here to see answer by Edwin McCravy(8999)

Question 174379: WHat is the biggest 3 digit prime number that is divisible by 5
Click here to see answer by Mathtut(3670)

Question 175075: _ x _ x _ = 4897
The numbers must be prime numbers. You cannot use a number more than once.
Click here to see answer by Alan3354(31518)

Question 175075: _ x _ x _ = 4897
The numbers must be prime numbers. You cannot use a number more than once.
Click here to see answer by stanbon(57967)

Question 175745: 5/3x=20 what does x equal?
Click here to see answer by solver91311(17077)

Question 175750: 5/3x = 20...........what does x equal?
Click here to see answer by Mathtut(3670)

Question 176346: which is the samllest 3 digit number which is exactly divisible by 6,8, 12
which is the samllest 3 digit number which is exactly divisible by 8,10,12
which is the greatest 3 digit number which is exactly divisible by 6,8, 12
which is the greatest 3 digit number which is exactly divisible by 8,10, 12
Click here to see answer by Fombitz(13828)

Question 176345: which is the greatest 3 digit number exactly divisible by 8,10,12
Click here to see answer by Mathtut(3670)

Question 176559: 4/3x = 160 what does x equal?
Click here to see answer by Mathtut(3670)

Question 176558: Joe tossed 4 into the pot. Their average weight was 6 lb. Then he tossed in 5 more whose average weight was 7 lb. Then he threw in a big one. The overall average eight of all of them was 7 lb. What did the big one weigh?
Click here to see answer by Mathtut(3670)

Question 176563: 6 2/9 divided by 5 1/9 - 7/8 = ?
Click here to see answer by edjones(7569)

Question 176721: The times for the race came down with practice. The average time for the 5 racers in the first race was 57 seconds. The average time for the second race was 55 seconds. For the third race, the average time was 52 seconds. What was the average time for all three races?
Click here to see answer by Mathtut(3670)

Question 176730: use two unit multipliers to convert 360 yards to inches
Click here to see answer by solver91311(17077)

Question 176731: find the least common multiple of 8, 21, and 24
Click here to see answer by Mathtut(3670)

Question 176560: 6 2/9 divided by 5 1/9 - 7/8 equals what?
Click here to see answer by checkley75(3666)

Question 177261: how do you find the greatest common factor of 36,48,50
how do you use a prime number in a GCF
Click here to see answer by jim_thompson5910(28715)

Question 177331: write each expression as a single power of ten.
1. 10*10^2
2. 10^18*10
3. 10^2*10^13
4. 100*10^7
5. 10*10^32
6. 10^7*10^23
simplify.calculate each product or quotient.give your answer in scientific notation.
1.4*(2*10^7)
2.(7*10^8)/3.5
3.12*(12*10^7)
4.(8.4*10^38)/4
5.25*(4*10^7)
6.3.14*(2.85*10^6)
7.2.85*(4.5*10^5)
8.9*(7*10^12)
9.(9*10)^12/4
10.8*(7*10^13)
11.(1.75*10^19)/1.25
12.6*(7.25*10^19)
13.(8.25*10^19)/1.25
14.40*(1.5*10^16)
15.2*(8*10^8)
16.(2*10^11)/(4.75*10^6)
17.7*(5*10^8)
18.(9.99*10^22)/(3*10^17)
19.(5.675*10^9)/1.135
20.(7.5*10^12)/(2.5*10^7)
21.15*(5.5*10^62)

Click here to see answer by MathLover1(6812)

Question 177545: Identify the fractions written in terms of the LCM of the denominators.
6/qr^2, 7/qr

my choices:
6/qr^2/qr^2, 7r/qr^2
6q/qr^2, 7r/qr^2
6r/qr^2, 7r/qr^2
6qr/q^2r^3, 7qr^2/q^2r^3

thank you.
Click here to see answer by stanbon(57967)

Question 177544: Identify the fractions written in terms of the LCM of the denominations.
6/x, 5/x^2

these are my options:
6x/x^2, 5x/x^2
6x^2/x^3, 5x/x^3
6x/x^2, 5/x^2
6/x^2, 5x/x^2

thank you.

Click here to see answer by stanbon(57967)

Question 177543: Find the LCM
d^2, d^2-16, and d^2-8d+16
thank you. this is so confusing.
Click here to see answer by stanbon(57967)

Question 177542: find the LCM
p^2 and p^2-1

thank you
Click here to see answer by stanbon(57967)

Question 177540: Help please, I'm stuck.
Find the LCM:
10fg and 6f^3
Click here to see answer by stanbon(57967)

Question 178039: What is the answer
-18.9 divide by 6.3
Click here to see answer by stanbon(57967)

Question 178602: Find th quotient of: -40x^2+108x - 56 divided by (10x-7)
Click here to see answer by Mathtut(3670)

Question 178958: What is 36 as a product of prime numbers?
What are the first three multiples of 36?
What are the factors of 36?
Click here to see answer by Mathtut(3670)

Question 179424: You are asked to arrange the towels in a locker room is stacks of equal size. In stacks of 4, 1 is left over. Stacks of 5, one is left over. The same is true for stacks of 6. You can arrange in stacks of 7 each. What is the smallest possible number of towels.
I did the LCM of 4, 5, and 6 and added one and got 121. Now I don't know how to work the 7 in there. Please help
Click here to see answer by jim_thompson5910(28715)

Question 179425: You go to the post office to buy stamps. You want 9 cent stamps. you want 4 times as many 13 cent stamps as 9 cent stamps and some 3 cent stamps. You give the clerk $5.00 and want no change. What stamps do you get?
Click here to see answer by stanbon(57967)

Question 179889: Hi i am Rachel i am in 8th grade and homed schooled i have no clue what i am doing i have to do 6 lessons and they have to be finished by tomorrow morning...any one want to help me i need it bad
Click here to see answer by Alan3354(31518)

Question 180637: Is the LCM of two prime numbers always their product?
Click here to see answer by jim_thompson5910(28715)

Question 181858: Find a four digit number that is divisible by 3, 5, and 8.
Click here to see answer by nerdybill(7003)

Question 181858: Find a four digit number that is divisible by 3, 5, and 8.
Click here to see answer by solver91311(17077)

Question 182124: Which of the numbers 28,65,68, and 153 are divisible by 4 ?
Click here to see answer by tvandenberg(45)

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