1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maw [93]
2 years ago
9

Problem 2 Find all the divisors of the number 2,310. How do you know that you found them all?​

Mathematics
1 answer:
elena-s [515]2 years ago
8 0

9514 1404 393

Answer:

  1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,

  55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Step-by-step explanation:

The trailing digit is 0, and the sum of digits is 6, so we know the number is divisible by 2, 3, 5. Dividing out those factors, we get a quotient of 77, which is 7×11. This means the prime factorization is ...

  2×3×5×7×11 = 2310

There are 5 prime factors, each with an exponent of 1, so the total number of divisors is 2^5 = 32. We will have found them all when all 32 are listed.

  1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,

  55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Of course, the pairwise products working toward the center from the ends of the list are all 2310.

You might be interested in
how do you get the answer to y=2x-3? It has to with line graphs and I am completely lost! If anyone can take me through it step
Lerok [7]
You know that -3 is the Y intercept(vertical graph line) and then continue 2/1 every x value that is plugged in.
3 0
3 years ago
Read 2 more answers
8(-14)/[(-8)-3(-13)]
Nadusha1986 [10]

Hey there!

\bold{\frac{8(-14)}{(-8)-3(-13)}}

  • \bold{8\times-14=-112}
  • \bold{\frac{-112}{(-8)-3(-13)}}
  • \bold{3\times-13=39}
  • \bold{\frac{-112}{-8-39} }
  • \bold{-8-(-39)=31}
  • \boxed{\boxed{\bold{Answer:\frac{-112}{31}}}}

Good luck on your assignment and enjoy your day!

~\bold{LoveYourselfFirst:)}

7 0
3 years ago
Fifteen million four hundred and ten thousand five hundred<br>and sixty eight with commas​
Alinara [238K]
What you mean is this a question I don’t understand it
7 0
2 years ago
Read 2 more answers
A triangle is enlarged by a factor of 3. The perimeter of the new triangle is 36 feet. What could be the lengths of the sides of
Burka [1]
3 feet 4 feet 5 feet is the answer. 3(3 + 4 + 5)=36
4 0
3 years ago
If m∠2 = 137 and m∠P = 22, what is m∠O?
Katyanochek1 [597]

Answer:

The answer is 21

Step-by-step explanation:

This should help you

8 0
1 year ago
Other questions:
  • What is the sum of 666+ 777
    12·1 answer
  • Hey certain recipe for key crossword 16 fluid ounces of water is Natalie needs to be 22 cakes for a bakery how many quarts of wa
    15·1 answer
  • 54 is 120% of what number? Explain please!
    11·2 answers
  • A 6 sided die numbered 1 to 6 is rolled . Find the probability that in the roll of the results is an odd number or less than 4
    9·1 answer
  • A​ hot-air balloon is 160 ftabove the ground when a motorcycle​ (traveling in a straight line on a horizontal​ road) passes dire
    12·1 answer
  • An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d, is related to the time in seconds,
    15·1 answer
  • Plzzzzzzzzzz Hurry I will mark brainliest if you get it right
    11·1 answer
  • Malik made the number pattern 1, 3, 7, 15 following a rule. The rule is to double the number and add one. Which number would com
    11·2 answers
  • Five times a number that has been decreased by 2 is equal to 55
    7·2 answers
  • Liam says -() is equivalent to 2. Explain if Liam is correct by completing the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!