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

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


Question 719489: there is a three digit number one digit is prime another is a square number the last one is not prime or square. the number is not divisible by three. what is the greatest possible value of the number
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Question 691690: 1.There are 1379 children signed up to play in a basketball league. If exactly 9 players are to be placed on each team, will any team be short of players?

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Question 713216: which espression repsents the verbal phrase "the sum of three times a number and five "?
3(n+5)
3+n*5
3n+5
3+(n+5)
*=times

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Question 692741: the number of numbers less than 21 and relatively prime to 21 is
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Question 724072: what is the smallest number exactly divisible by 2, 3 and 4
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Question 705438: the smallest number greater than 200 that is divisible by both 3 and 9

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Question 705438: the smallest number greater than 200 that is divisible by both 3 and 9

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Question 717351: write the missing digit to make each numer divisible by 9
22 blank 2 so like 22blank0
waht do i do

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Question 717347: write the missing digit to make each number divisible by 9
7 blank 1
waht do i do

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Question 725417: 45

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Question 727949: What is the prime number of 54 and 81?




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Question 727768: . I need to proof that "There are infinitely many primes"

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Question 737881: the factors of 2:

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Question 745014: if n > 2 ,then show that n^5-5n^3+4n is divisible by 120
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Question 731348: What is the total number of divisors of 1000?
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Question 735992: What is the nearest number to 10000 which is divisible by 2,3,4,5,6,7,8,9,11?
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Question 744545: An old women goes to market and a horse steps on her basket and crashes the eggs.The rider offers to pay the damages and asks her how many eggs she had brought .She does not remember the exact number,but when she had taken them out two at a time ,there was one egg left.The same happened when she picked 2,3,4,5,6 at a time, but when she took seven at a time they came out even.What is the smallest number of eggs she could have had? Please do explain the method....
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Question 741507: What is the factors -945 that when you add them overhear equal 8?
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Question 738325: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, then the dividend is
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Question 738022: the prime factors of a number are 2*2*2*2 and 5. What is the number
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Question 737421: produce the least positive number that is divisible by 2,3,4,5,6,7,8,9,10,11
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Question 732562: perform the indicated division. (x^5 + 3x^3 - 6) / (x - 1)
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Question 732105: write the composite number as a product of prime numbers,450
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Question 732033: (2x^3+x^2-x+1) / (2x+3) (use long division)
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Question 732035: simplify
(-13x^2+9x-14)-(-2x^2-6x+1)

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Question 729633: ?definition of 'distinct' prime number?

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Question 729410: Refer back to Week One Discussion and use the names and ages of yourself and the other two people you selected. Make sure one is older than you and one is younger than you.
In years, how old was the older person when you were born?
Write an equation that models how old in years each of you will be, when your ages add up to 150 years old. For example, if x = your age and the eldest person was a year older than you, you would write their age as x + 1. Then the equation would be: x + (x+1) = 150.
Explain the reasoning which helped you develop your equation.
Solve for your future ages. Are your answers reasonable, do they add up to 150?
In years, how old were you when the youngest person was born?
At some point during the lives of you and the youngest person, your age will be three times his/her age at that moment. Write an equation which models how old in years each of you will be when you are three times as old as the younger person.
Explain the reasoning which helped you develop your equation.
Solve the equation for your ages when you are three times as old as the youngest person. Are your answers reasonable?
Respond to at least two of your classmates’ postings. Check their equations and investigate for mathematical errors. Help with a constructive critique.
My mother is 64 years old and I'm 27 years old and my son is 5 years old. Somebody please help me I have no idea what to do.

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Question 718732: Following recess, the 100 students at a school lined up for the following activity: The first student opened all the 1000 lockers in the school. The second student cloased all lockers with even numbers. The third student "changed" all lockers that were numbered with multiples of 3 by closing those that were open and opening those that were closed. The fourth student changed each locker whose number was a multiple of 4 and so on. After all 1000 students had completed the activity, which lockers were open? Why?
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Question 717374: Solving equation with fraction
1/(3x)-1/2=1/6

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Question 717356: there are four diffrent digits which,when inserted in the blank space in the numbers 4blank5,make the number divisble by 3. write them.
i dont understand can u help me

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Question 717353: it says write the missing digit to make each number divisible by 9 what do i do
88,blank,12
what do i do

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Question 717353: it says write the missing digit to make each number divisible by 9 what do i do
88,blank,12
what do i do

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Question 714886: What is the smallest counting number that is divisible by 4, 5, 6, 9 and 28?
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Question 707198: Michael writes down 4 different factors of 60.
He adds the 4 factors together.
He gets a number greater than 20 but less than 35
What 4 factors could Michael have written down?

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Question 707198: Michael writes down 4 different factors of 60.
He adds the 4 factors together.
He gets a number greater than 20 but less than 35
What 4 factors could Michael have written down?

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Question 706702: 21296/22?
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Question 704742: please help me to solve this equation : 20% of 50

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Question 703048: What two prime numbers can be multiplied to get the result of 316?
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Question 700280: Assuming that p(n) is the nth prime number, estabilish that p(n)>2n-1, for n>=5.
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Question 697847: how to show that a is relatively prime to n
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Question 698095: find the smallest number which when divided by 24 and 36 leaves remainder 8 in each case?
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Question 697858: Sears has a sale on mechanics tool chests every 40 days and a sale on mechanics tool sets every 60 days. If both are on sale today, how long will it be before they are on sale together again?
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Question 694313: What is meant by the terms form 2k and form 3m in equations dealing with prime numbers? Is the 2 the number of elements in a subset of factors? What does the k stand for?
Thank you!
Claire

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Question 694189: Factor x^2 - 9
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Question 694161: Factor x^2 - 4
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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