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

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

Question 116216: Why is it impossible to find a number from 101-200 that is divisible by four different prime numbers? (Hint: How big would such a number have to be?)
Click here to see answer by ankor@dixie-net.com(15638)

Question 116193: My son was given an assignment that I cannot figure out how to help with. He is to write three word problems that contain the concept of prime factorization and then explain the solutions.
Any chance you could give us an example of a word problem that does that? I STINK at math and if I could get an idea of what the teacher expects, I could probably help him write three. His assignment is due tomorrow, and without help, he will get a zero...

Thanks!

Click here to see answer by ankor@dixie-net.com(15638)

Question 116291: solve
x - 19 = 3x - 19
Click here to see answer by jim_thompson5910(28504)

Question 116566: Solve:
5/3 = 8/2a
Click here to see answer by MathLover1(6622)

Question 117283: Reduce to lowest terms
-3c third power d/-9c 2nd pwoer d third power.
Click here to see answer by MathLover1(6622)

Question 117432: Find the common monomial factor. Divide to find another factor. Then write the polynomial as the product of the monomial and a polynomial.
15m 2nd power n to third power + 3mn 2nd power + 6n
Click here to see answer by edjones(7569)

Question 117725:
Divide
x + 2 divided by x 2 powr + 5x +6
Click here to see answer by stanbon(57246)

Question 117716: hello sir,
This is Prakash Baskaran.
Is there any shortcut method to find out whether a number is prime or not?? for simple numbers it is easy, but what is I'am given a huge num,
another condition being that, the num is not divisible by any numbers from 1-15.
Pls do reply to my mail
Prakash Baskaran
Click here to see answer by MathLover1(6622)

Question 117724: divide
2 + 5/5 Divided by 2(s +5)/15

Click here to see answer by jim_thompson5910(28504)

Question 117724: divide
2 + 5/5 Divided by 2(s +5)/15

Click here to see answer by solver91311(16868)

Question 117723: simplify
-3ab 2 power (-5a - 4b -3)

Click here to see answer by jim_thompson5910(28504)

Question 117722: Simplify
-12x 2nd power y - 9x 5 powery 2 power - 15 xy4 power/-3xy
Click here to see answer by jim_thompson5910(28504)

Question 118909: 7\2x-4=10
Click here to see answer by HyperBrain(694)

Question 119044: What is the prime factorization of 72?
Click here to see answer by jim_thompson5910(28504)

Question 119132: what is 56 divisible by out of these numbers:2,3,4,5,6,7,8,9,10 ? Thank you very much.
Click here to see answer by edjones(7569)

Question 119343: how mant times greater is 5/6 of 30 than 1/6 0f 30
I think it is 4 as 1/6 of 30 is 5 so 5/6 would be 25, I am just unsure
i think this is the answer as 6/6 would be a whole
Alex
Click here to see answer by josmiceli(9661)

Question 119260: show how to find the greatest common factor for:

42,90
34,68
56,150
28,45
60,350
40,68
Click here to see answer by checkley71(8403)

Question 119667: find greatest number of four digits which when divided by 3,5,7,9 leaves remainder 1,3,5,7 respectively
Click here to see answer by Edwin McCravy(8882)

Question 120136: Are all even numbers divisible by 10?

Click here to see answer by jim_thompson5910(28504)

Question 120596: what is the prime factorization for 68? and the factor tree.
Click here to see answer by checkley71(8403)

Question 120597: what is the prime factorization for 68? and the factor tree.
Click here to see answer by jpa65@hotmail.com(9)

Question 122255: Find the smallest positive number that is divisible by 7 with a remainder of 4, divisible by 8 with a remainder of 5, and divisible by 9 with a remainder of 6.
Click here to see answer by solver91311(16868)

Question 122549: Can you help me find two pairs of relatively prime numbers from 5, 10, 16, and 25?
Click here to see answer by stanbon(57246)

Question 122587: Is 57 a prime number?
Click here to see answer by scott8148(6628)

Question 122588: Is 57 a prime number?
Click here to see answer by scott8148(6628)

Question 122588: Is 57 a prime number?
Click here to see answer by edjones(7569)

Question 122590: What is the GCF for 14 and 21?
Click here to see answer by edjones(7569)

Question 122592: What is the LCM for 4 and 20?
Click here to see answer by stanbon(57246)

Question 115075: i dont know the answer to 26m,104m to the second power i have to find the LCM
Click here to see answer by stanbon(57246)

Question 123522: divide: 3x^3-5 by x-1
Click here to see answer by Edwin McCravy(8882)

Question 123940: What are the factors of 120?
Click here to see answer by Earlsdon(6287)

Question 124120: What are the prime numbers?

Click here to see answer by chitra(359)

Question 125026: What are thge prime factors of 420?

Click here to see answer by MathLover1(6622)

Question 125026: What are thge prime factors of 420?

Click here to see answer by solver91311(16868)

Question 125052: Find the prime factorization of 93.
Click here to see answer by edjones(7569)

Question 125053: Find the LCM for 14 and 84.
Click here to see answer by edjones(7569)

Question 128826: what are prime numbers ;54,12,36
Click here to see answer by checkley71(8403)

Question 129094: What is the sum of the integers between 1 and 300 that are divisible by 11 and/or 13?

Click here to see answer by checkley71(8403)

Question 129094: What is the sum of the integers between 1 and 300 that are divisible by 11 and/or 13?

Click here to see answer by solver91311(16868)

Question 129100: Determine the largest prime divisor of 87! + 88! .
Click here to see answer by solver91311(16868)

Question 129097: Find three consecutive odd numbers such that the sum of their squares is a four-digit number with all four digits the same?

Click here to see answer by edjones(7569)

Question 129894: Find an integer having the remainders 1,2,5,5, when divided by 2,3,6,12, respectively
Click here to see answer by Dalmo(2)

Question 129894: Find an integer having the remainders 1,2,5,5, when divided by 2,3,6,12, respectively
Click here to see answer by Earlsdon(6287)

Question 130014: Hi tutors,
I have a question. May I know how to solve this:
Find all primes that divide 50! ?
If it is 50, I have no problem but 50! is too large.
Thank you.
Click here to see answer by solver91311(16868)

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