What is the perfect square of 2880?

 Which one of the following is the smallest number by which 2880 must be divided in order to make it a perfect square ?

  1. 3
  2. 4
  3. 5
  4. 6

Answer (Detailed Solution Below)

Option 3 : 5

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15 Questions 15 Marks 9 Mins

Calculation: 

2

2880

2

1440

2

720

2

360

2

180

2

90

3

45

3

15

5

5

1

2880 = 26 × 32 × 5

∴  Hence, 5 is the smallest number by which 2880 must be divided in order to make it a perfect square.

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Table of Contents

1

  • Calculator
  • What is 2880 Squared?
  • FAQs About 2880 Squared
    • What is the Square of 2880?
    • How do you Write 2880 Squared?
    • Is There a Square Root of 2880?
    • What is the Perfect Square of 2880?
    • How Do You Square 2880?
    • Is 2880 a Square Number?
    • What is the Square of Negative 2880?
  • Table
  • Two Thousand Eight Hundred Eighty Squared
  • Conclusion

2880 squared, (2880)2, is the number you get when multiplying 2880 times 2880.

It can also be looked at as exponentiation involving the base 2880 and the exponent 2.

The term is usually pronounced two thousand eight hundred eighty times two thousand eight hundred eighty or two thousand eight hundred eighty squared.

The square of 2880 is a perfect square because the number is the product of the two equal integers 2880.

It can be written as 2880 × 2880 or in exponential form.

Read on to learn everything about the number two thousand eight hundred eighty squared, including useful identities.

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(2880)2 = 8,294,400
2880 × 2880 = 8,294,400

The inverse operation of squaring two thousand eight hundred eighty is extracting the square root of 2880, explained here.

In the next section we elaborate on what is 2880 squared and there you can also find our calculator.

What is 2880 Squared?

A square is a flat shape with four equal sides; every angle is 90°.

Hence, a square with side length 2880 has an area of 8,294,400.

2880 squared equals the sum of the first 2880 odd numbers:

In addition, the number can be calculated from 2879 squared using the following identity:

n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(2880)2 = 28792 + 2879 + 2880 = 28792 + 5759 = 8,294,400

It can be also be computed from 2879 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(2880)2 = 2 x 28792 – 28782 + 2 = 2 x 8288641 – 8282884 + 2 = 8,294,400

The difference between the perfect square of 2880 and its predecessor, 2879, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:

2 x 2880 – 1 = 5759 = (2880)2 – 28792 = 8,294,400 – 8288641 = 5759

2880 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.

Squares of even numbers like 2880 are divisible by 4 for

= n2.

If you want to calculate the square of any number, not only integers like 2880, you can use our calculator above.

Enter your number; nothing else to be done.

A square similar to 2880 is, for example: square of 2882.

Ahead, we discuss the frequently asked questions.

FAQs About 2880 Squared

Click on the question which is of interest to you to see the collapsible content answer.

What is the Square of 2880?

The square of 2880 is 8,294,400.

How do you Write 2880 Squared?

2880 squared can be written as (2880)2 (a small 2 is placed to the top right of 2880) or 2880^2.

Is There a Square Root of 2880?

Yes, the square roots of 2880 are ±53.66563146.

What is the Perfect Square of 2880?

The perfect square of 2880 is 2880 × 2880 = 8,294,400.

How Do You Square 2880?

You square 2880 by multiplying 2880 by itself.

Is 2880 a Square Number?

No, 2880 is the square of the irrational number 53.66563146.

What is the Square of Negative 2880?

The square of negative 2880 is 8,294,400.

If something remains unclear do not hesitate getting in touch with us.

We are constantly trying to improve our site, and truly appreciate your feedback.

The following table contains the squares of numbers close to 2880.

Table

NumberSquare
2875 8,265,625
2876 8,271,376
2877 8,277,129
2878 8,282,884
2879 8,288,641
2880 8,294,400
2881 8,300,161
2882 8,305,924
2883 8,311,689
2884 8,317,456
2885 8,323,225

Two Thousand Eight Hundred Eighty Squared

By reading so far you know all about squaring the number 2880 and calculating it using recursive methods, or as sum, product or by exponentiation.

2880 squared is equivalent to 8,294,400.

If you were searching for what is 2880 squared in math or if you typed whats 2880 squared in the search engine you now have all the answers, too.

The same goes for searches like square2880, and 2880 to the 2nd power, just to name a few more examples people are often looking for.

Note that you can also find many perfect squares including 2880 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

2880 squared = 2880 × 2880 = (2880)2 = 8,294,400.

The exponentiation form is mostly used to denote two thousand eight hundred eighty squared.

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Which is the smallest number that on dividing 2880 results in the quotient being a perfect square?

∴ Hence, 5 is the smallest number by which 2880 must be divided in order to make it a perfect square.

Is 2400 perfect square?

This is an Expert-Verified Answer There are one 2 and one 3 in the above which are without any pair. Therefore, the smallest number is 2*3 = 6, by which 2400 is to be multiplied to get a perfect square.

What is the least number by which 2800 should be multiplied so that the product may be a perfect square?

The smallest whole number which should be multiplied to 2800 to make it a perfect square is 7 and the square root of the perfect square 19600 is 140.

Is 2160 perfect square?

Answer. 2160 is not a perfect square.