answersLogoWhite

0


Best Answer

Divide 2880 by 5 to give the perfect square 576 = 242.

First write 2880 in its prime factorisation in power form:

2880 = 26 x 32 x 51

To be a perfect square, all the prime factors need to have an even power, so to find the smallest number by which to divide to get a perfect square only all the odd powers need to be reduced by 1; only the power of the prime factor 5 is odd and needs to be reduced by 1, so divide by 5.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar
More answers
User Avatar

Anonymous

Lvl 1
4y ago

659

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the smallest number that divides 2880 to give a perfect square?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Which is the smallest number that divides 4375 and is a perfect square?

25


What is the smallest number that divides 275 to give a perfect square?

The smallest integer is 11 but there is no smallest number! 0.11 is a smaller number and will give a perfect square. 0.0011 is smaller still, and 0.000011 even smaller. That sequence is endless!


What is the smallest number that divides 1800 to give a perfect square?

It is 2 because 1800/2 = 900 which is a perfect square because 302 = 900


Which is the smallest nowhich divides 2880 and gives a perfect square?

2880/20 = 144 which is a perfect square


What is the smallest number that divides 1152 to give a perfect square?

The smallest integer is 2.There is no smallest number. Dividing 1152 by any number of the form x = 1/(2k2) where k is an integer will result in a perfect square. Since there is no limit to how large k can be, there is no limit to how small x can be.


What is the smallest square number greater than 100?

The smallest perfect square is 121.


What is the smallest square number?

The smallest square number qreater than 1 is 2. * * * * * 2 is not a perfect square number.


Is the different of the smallest three digit number and the smallest two digit number is a perfect square?

No. The smallest 2 digit number is 10 the smallest 3 digit number is 100 - so the question is whether (100-10) is a perfect square? No - 90 is not a perfect square. 8x8 is 64 and 9x9 is 91, not 90.


What is special about the number sixty four?

It is the smallest composite number that is both a perfect square and a perfect cube.


Which smallest number can be subtracted from 15198 to get a perfect square?

69


What is the smallest number that is both a perfect square and a perfect cube?

1 (1x1x1 or 1x1)


What is the smallest number subtracted from 1256 that gives the perfect square?

31.